28425600 has 384 divisors, whose sum is σ = 121420800. Its totient is φ = 6359040.

The previous prime is 28425569. The next prime is 28425601. The reversal of 28425600 is 652482.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28425601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604777 + ... + 604823.

It is an arithmetic number, because the mean of its divisors is an integer number (316200).

Almost surely, 2^28425600 is an apocalyptic number.

28425600 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 28425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

28425600 is an abundant number, since it is smaller than the sum of its proper divisors (92995200).

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

28425600 is a wasteful number, since it uses less digits than its factorization.

28425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28425600 is about 5331.5663739655. The cubic root of 28425600 is about 305.1897055056.

The spelling of 28425600 in words is "twenty-eight million, four hundred twenty-five thousand, six hundred".