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28712832 = 273233251
BaseRepresentation
bin110110110000…
…1111110000000
32000000202121020
41231201332000
524322302312
62503225440
7466024611
oct155417600
960022536
1028712832
1115231415
129748280
135c44155
143b55c08
1527c278c
hex1b61f80

28712832 has 64 divisors (see below), whose sum is σ = 79608960. Its totient is φ = 9152000.

The previous prime is 28712807. The next prime is 28712837. The reversal of 28712832 is 23821782.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28712793 and 28712802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28712837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7207 + ... + 10457.

It is an arithmetic number, because the mean of its divisors is an integer number (1243890).

Almost surely, 228712832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39804480).

28712832 is an abundant number, since it is smaller than the sum of its proper divisors (50896128).

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

28712832 is a wasteful number, since it uses less digits than its factorization.

28712832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3279 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 28712832 is about 5358.4355925960. The cubic root of 28712832 is about 306.2142120057.

The spelling of 28712832 in words is "twenty-eight million, seven hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 3251 4416 6502 8832 9753 13004 19506 26008 39012 52016 74773 78024 104032 149546 156048 208064 224319 299092 312096 416128 448638 598184 624192 897276 1196368 1248384 1794552 2392736 3589104 4785472 7178208 9570944 14356416 28712832