5728400 has 30 divisors (see below), whose sum is σ = 13763442. Its totient is φ = 2291200.

The previous prime is 5728391. The next prime is 5728409. The reversal of 5728400 is 48275.

It is an interprime number because it is at equal distance from previous prime (5728391) and next prime (5728409).

It can be written as a sum of positive squares in 3 ways, for example, as 44944 + 5683456 = 212^2 + 2384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5728400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728409) 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, 6761 + ... + 7560.

Almost surely, 2^5728400 is an apocalyptic number.

5728400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5728400 is an abundant number, since it is smaller than the sum of its proper divisors (8035042).

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

5728400 is a wasteful number, since it uses less digits than its factorization.

5728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14339 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5728400 is about 2393.4076125892. The cubic root of 5728400 is about 178.9277821093.

The spelling of 5728400 in words is "five million, seven hundred twenty-eight thousand, four hundred".