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28268032 = 291331137
BaseRepresentation
bin110101111010…
…1011000000000
31222012011110011
41223311120000
524214034112
62445514304
7462163042
oct153653000
958164404
1028268032
1114a58211
129572994
135b19860
143a7ba92
152735aa7
hex1af5600

28268032 has 80 divisors (see below), whose sum is σ = 63245952. Its totient is φ = 12533760.

The previous prime is 28268003. The next prime is 28268033. The reversal of 28268032 is 23086282.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 28267985 and 28268003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28268033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206268 + ... + 206404.

Almost surely, 228268032 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 28268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31622976).

28268032 is an abundant number, since it is smaller than the sum of its proper divisors (34977920).

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

28268032 is a wasteful number, since it uses less digits than its factorization.

28268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 28268032 is about 5316.7689436348. The cubic root of 28268032 is about 304.6247539624.

The spelling of 28268032 in words is "twenty-eight million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 137 208 248 256 274 403 416 496 512 548 806 832 992 1096 1612 1664 1781 1984 2192 3224 3328 3562 3968 4247 4384 6448 6656 7124 7936 8494 8768 12896 14248 15872 16988 17536 25792 28496 33976 35072 51584 55211 56992 67952 70144 103168 110422 113984 135904 206336 220844 227968 271808 441688 455936 543616 883376 911872 1087232 1766752 2174464 3533504 7067008 14134016 28268032