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28024864 = 257261293
BaseRepresentation
bin110101011101…
…0000000100000
31221201210212221
41222322000200
524133243424
62440400424
7460131100
oct152720040
957653787
1028024864
111490154a
129476114
135a62c7a
143a17200
1526d89e4
hex1aba020

28024864 has 72 divisors (see below), whose sum is σ = 65456748. Its totient is φ = 11773440.

The previous prime is 28024861. The next prime is 28024883. The reversal of 28024864 is 46842082.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 19600 = 5292^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (28024861) 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, 95502 + ... + 95794.

Almost surely, 228024864 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 28024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32728374).

28024864 is an abundant number, since it is smaller than the sum of its proper divisors (37431884).

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

28024864 is a wasteful number, since it uses less digits than its factorization.

28024864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 28024864 is about 5293.8515279520. The cubic root of 28024864 is about 303.7487536289.

The spelling of 28024864 in words is "twenty-eight million, twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 293 392 427 488 586 784 854 976 1172 1568 1708 1952 2051 2344 2989 3416 4102 4688 5978 6832 8204 9376 11956 13664 14357 16408 17873 23912 28714 32816 35746 47824 57428 65632 71492 95648 114856 125111 142984 229712 250222 285968 459424 500444 571936 875777 1000888 1751554 2001776 3503108 4003552 7006216 14012432 28024864