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28869840 = 24325101397
BaseRepresentation
bin110111000100…
…0010011010000
32000022201222100
41232020103100
524342313330
62510440400
7500250426
oct156102320
960281870
1028869840
111532937a
129803100
135c9a75c
143b97116
152804060
hex1b884d0

28869840 has 120 divisors (see below), whose sum is σ = 98161128. Its totient is φ = 7603200.

The previous prime is 28869833. The next prime is 28869851. The reversal of 28869840 is 4896882.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 16842816 = 3468^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72522 + ... + 72918.

Almost surely, 228869840 is an apocalyptic number.

28869840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49080564).

28869840 is an abundant number, since it is smaller than the sum of its proper divisors (69291288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28869840 is a wasteful number, since it uses less digits than its factorization.

28869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 28869840 is about 5373.0661637467. The cubic root of 28869840 is about 306.7713463265.

The spelling of 28869840 in words is "twenty-eight million, eight hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 397 404 505 606 720 794 808 909 1010 1191 1212 1515 1588 1616 1818 1985 2020 2382 2424 3030 3176 3573 3636 3970 4040 4545 4764 4848 5955 6060 6352 7146 7272 7940 8080 9090 9528 11910 12120 14292 14544 15880 17865 18180 19056 23820 24240 28584 31760 35730 36360 40097 47640 57168 71460 72720 80194 95280 120291 142920 160388 200485 240582 285840 320776 360873 400970 481164 601455 641552 721746 801940 962328 1202910 1443492 1603880 1804365 1924656 2405820 2886984 3207760 3608730 4811640 5773968 7217460 9623280 14434920 28869840