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28136960 = 29529379
BaseRepresentation
bin110101101010…
…1011000000000
31221221111122122
41223111120000
524200340320
62443023412
7461105645
oct153253000
957844578
1028136960
1114978795
12950ab68
135aa1cb7
143a45dcc
15270bd25
hex1ad5600

28136960 has 80 divisors (see below), whose sum is σ = 69973200. Its totient is φ = 10838016.

The previous prime is 28136951. The next prime is 28136971. The reversal of 28136960 is 6963182.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28136960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74051 + ... + 74429.

It is an arithmetic number, because the mean of its divisors is an integer number (874665).

Almost surely, 228136960 is an apocalyptic number.

28136960 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 28136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34986600).

28136960 is an abundant number, since it is smaller than the sum of its proper divisors (41836240).

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

28136960 is an equidigital number, since it uses as much as digits as its factorization.

28136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 28136960 is about 5304.4283386620. The cubic root of 28136960 is about 304.1532007132.

Subtracting from 28136960 its reverse (6963182), we obtain a triangular number (21173778 = T6507).

The spelling of 28136960 in words is "twenty-eight million, one hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 379 464 512 580 640 758 928 1160 1280 1516 1856 1895 2320 2560 3032 3712 3790 4640 6064 7424 7580 9280 10991 12128 14848 15160 18560 21982 24256 30320 37120 43964 48512 54955 60640 74240 87928 97024 109910 121280 175856 194048 219820 242560 351712 439640 485120 703424 879280 970240 1406848 1758560 2813696 3517120 5627392 7034240 14068480 28136960