25428480 has 320 divisors, whose sum is σ = 103707648. Its totient is φ = 5160960.

The previous prime is 25428451. The next prime is 25428493. The reversal of 25428480 is 8482452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×25428480² = 1293215190220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591339 + ... + 591381.

Almost surely, 2^25428480 is an apocalyptic number.

25428480 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 25428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824).

25428480 is an abundant number, since it is smaller than the sum of its proper divisors (78279168).

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

25428480 is a wasteful number, since it uses less digits than its factorization.

25428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 25428480 is about 5042.6659615723. The cubic root of 25428480 is about 294.0628307568.

The spelling of 25428480 in words is "twenty-five million, four hundred twenty-eight thousand, four hundred eighty".