25228320 has 144 divisors (see below), whose sum is σ = 86329152. Its totient is φ = 6190080.

The previous prime is 25228303. The next prime is 25228321. The reversal of 25228320 is 2382252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (25228321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80965 + ... + 81275.

It is an arithmetic number, because the mean of its divisors is an integer number (599508).

Almost surely, 2^25228320 is an apocalyptic number.

25228320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43164576).

25228320 is an abundant number, since it is smaller than the sum of its proper divisors (61100832).

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

25228320 is a wasteful number, since it uses less digits than its factorization.

25228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 25228320 is about 5022.7801066740. The cubic root of 25228320 is about 293.2892266098.

The spelling of 25228320 in words is "twenty-five million, two hundred twenty-eight thousand, three hundred twenty".