5928800 has 36 divisors (see below), whose sum is σ = 14475636. Its totient is φ = 2371200.

The previous prime is 5928787. The next prime is 5928803. The reversal of 5928800 is 88295.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5928803) 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, 2906 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (402101).

Almost surely, 2^5928800 is an apocalyptic number.

5928800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5928800 is an abundant number, since it is smaller than the sum of its proper divisors (8546836).

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

5928800 is a wasteful number, since it uses less digits than its factorization.

5928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 5928800 is about 2434.9127294423. The cubic root of 5928800 is about 180.9904251012.

The spelling of 5928800 in words is "five million, nine hundred twenty-eight thousand, eight hundred".