5928000 has 224 divisors, whose sum is σ = 22189440. Its totient is φ = 1382400.

The previous prime is 5927989. The next prime is 5928031. The reversal of 5928000 is 8295.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 311991 + ... + 312009.

It is an arithmetic number, because the mean of its divisors is an integer number (99060).

Almost surely, 2^5928000 is an apocalyptic number.

5928000 is a gapful number since it is divisible by the number (50) 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 5928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094720).

5928000 is an abundant number, since it is smaller than the sum of its proper divisors (16261440).

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

5928000 is a wasteful number, since it uses less digits than its factorization.

5928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5928000 is about 2434.7484469653. The cubic root of 5928000 is about 180.9822841141.

The spelling of 5928000 in words is "five million, nine hundred twenty-eight thousand".