25578528 has 48 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 8343296.

The previous prime is 25578521. The next prime is 25578577. The reversal of 25578528 is 82587552.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×25578528² = 1308522189293568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25578528.

It is not an unprimeable number, because it can be changed into a prime (25578521) 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, 1678 + ... + 7346.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^25578528 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 25578528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

25578528 is an abundant number, since it is smaller than the sum of its proper divisors (43005792).

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

25578528 is a wasteful number, since it uses less digits than its factorization.

25578528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5721 counting only the distinct ones).

The product of its digits is 224000, while the sum is 42.

The square root of 25578528 is about 5057.5219228393. The cubic root of 25578528 is about 294.6400973384.

It can be divided in two parts, 25578 and 528, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 25578528 in words is "twenty-five million, five hundred seventy-eight thousand, five hundred twenty-eight".