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28590320 = 2451153613
BaseRepresentation
bin110110100010…
…0000011110000
31222210112112202
41231010003300
524304342240
62500442332
7465004463
oct155040360
958715482
1028590320
1115158370
1296a93a8
135c00465
143b232da
15279b315
hex1b440f0

28590320 has 80 divisors (see below), whose sum is σ = 74004192. Its totient is φ = 10183680.

The previous prime is 28590319. The next prime is 28590323. The reversal of 28590320 is 2309582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28590323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46334 + ... + 46946.

Almost surely, 228590320 is an apocalyptic number.

28590320 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 28590320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37002096).

28590320 is an abundant number, since it is smaller than the sum of its proper divisors (45413872).

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

28590320 is a wasteful number, since it uses less digits than its factorization.

28590320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 28590320 is about 5346.9916775697. The cubic root of 28590320 is about 305.7780725283.

The spelling of 28590320 in words is "twenty-eight million, five hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 613 848 880 1060 1166 1226 2120 2332 2452 2915 3065 4240 4664 4904 5830 6130 6743 9328 9808 11660 12260 13486 23320 24520 26972 32489 33715 46640 49040 53944 64978 67430 107888 129956 134860 162445 259912 269720 324890 357379 519824 539440 649780 714758 1299560 1429516 1786895 2599120 2859032 3573790 5718064 7147580 14295160 28590320