25628480 has 42 divisors (see below), whose sum is σ = 61244226. Its totient is φ = 10215168.

The previous prime is 25628459. The next prime is 25628483. The reversal of 25628480 is 8482652.

It can be written as a sum of positive squares in only one way, i.e., 20502784 + 5125696 = 4528^2 + 2264^2 .

It is a super-2 number, since 2×25628480² = 1313637974220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25628480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25628483) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90419 + ... + 90701.

Almost surely, 2^25628480 is an apocalyptic number.

25628480 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 25628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30622113).

25628480 is an abundant number, since it is smaller than the sum of its proper divisors (35615746).

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

25628480 is an frugal number, since it uses more digits than its factorization.

25628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 25628480 is about 5062.4579010595. The cubic root of 25628480 is about 294.8317723213.

The spelling of 25628480 in words is "twenty-five million, six hundred twenty-eight thousand, four hundred eighty".