25632288 has 240 divisors, whose sum is σ = 87816960. Its totient is φ = 7257600.

The previous prime is 25632253. The next prime is 25632293. The reversal of 25632288 is 88223652.

25632288 is a `hidden beast` number, since 256 + 322 + 88 = 666.

It is a super-2 number, since 2×25632288² = 1314028376229888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826833 + ... + 826863.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^25632288 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 25632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

25632288 is an abundant number, since it is smaller than the sum of its proper divisors (62184672).

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

25632288 is a wasteful number, since it uses less digits than its factorization.

25632288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 25632288 is about 5062.8339889829. The cubic root of 25632288 is about 294.8463740948.

It can be divided in two parts, 2563 and 2288, that added together give a triangular number (4851 = T₉₈).

The spelling of 25632288 in words is "twenty-five million, six hundred thirty-two thousand, two hundred eighty-eight".