5032800 has 144 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1336320.

The previous prime is 5032771. The next prime is 5032823. The reversal of 5032800 is 82305.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21484 + ... + 21716.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^5032800 is an apocalyptic number.

5032800 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 5032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5032800 is an abundant number, since it is smaller than the sum of its proper divisors (13247280).

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

5032800 is a wasteful number, since it uses less digits than its factorization.

5032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5032800 is about 2243.3902915008. The cubic root of 5032800 is about 171.3706947479.

It can be divided in two parts, 5032 and 800, that added together give a cube (5832 = 18³).

The spelling of 5032800 in words is "five million, thirty-two thousand, eight hundred".