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28575232 = 29721767
BaseRepresentation
bin110110100000…
…0011000000000
31222202202211221
41231000120000
524303401412
62500244424
7464612500
oct155003000
958682757
1028575232
1115147aa4
1296a0714
135bc662a
143b1ba00
152796b07
hex1b40600

28575232 has 120 divisors (see below), whose sum is σ = 71372664. Its totient is φ = 11354112.

The previous prime is 28575229. The next prime is 28575233. The reversal of 28575232 is 23257582.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28575233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426463 + ... + 426529.

Almost surely, 228575232 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 28575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686332).

28575232 is an abundant number, since it is smaller than the sum of its proper divisors (42797432).

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

28575232 is an equidigital number, since it uses as much as digits as its factorization.

28575232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 28575232 is about 5345.5806045742. The cubic root of 28575232 is about 305.7242735342.

The spelling of 28575232 in words is "twenty-eight million, five hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 67 68 98 112 119 128 134 136 196 224 238 256 268 272 392 448 469 476 512 536 544 784 833 896 938 952 1072 1088 1139 1568 1666 1792 1876 1904 2144 2176 2278 3136 3283 3332 3584 3752 3808 4288 4352 4556 6272 6566 6664 7504 7616 7973 8576 8704 9112 12544 13132 13328 15008 15232 15946 17152 18224 25088 26264 26656 30016 30464 31892 34304 36448 52528 53312 55811 60032 60928 63784 72896 105056 106624 111622 120064 127568 145792 210112 213248 223244 240128 255136 291584 420224 426496 446488 510272 583168 840448 892976 1020544 1680896 1785952 2041088 3571904 4082176 7143808 14287616 28575232