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28904832 = 2732112281
BaseRepresentation
bin110111001000…
…0110110000000
32000101111222100
41232100312000
524344423312
62511310400
7500454435
oct156206600
960344870
1028904832
11153526a0
12981b400
135cb0668
143ba5b8c
15280e5dc
hex1b90d80

28904832 has 96 divisors (see below), whose sum is σ = 90777960. Its totient is φ = 8755200.

The previous prime is 28904831. The next prime is 28904839. The reversal of 28904832 is 23840982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28904831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11532 + ... + 13812.

Almost surely, 228904832 is an apocalyptic number.

28904832 is a gapful number since it is divisible by the number (22) 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 28904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45388980).

28904832 is an abundant number, since it is smaller than the sum of its proper divisors (61873128).

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

28904832 is a wasteful number, since it uses less digits than its factorization.

28904832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28904832 is about 5376.3214189630. The cubic root of 28904832 is about 306.8952381215.

The spelling of 28904832 in words is "twenty-eight million, nine hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 2281 3168 4224 4562 6336 6843 9124 12672 13686 18248 20529 25091 27372 36496 41058 50182 54744 72992 75273 82116 100364 109488 145984 150546 164232 200728 218976 225819 291968 301092 328464 401456 437952 451638 602184 656928 802912 875904 903276 1204368 1313856 1605824 1806552 2408736 2627712 3211648 3613104 4817472 7226208 9634944 14452416 28904832