5728100 has 72 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 1952160.

The previous prime is 5728061. The next prime is 5728103. The reversal of 5728100 is 18275.

It is a super-2 number, since 2×5728100² = 65622259220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34217 + ... + 34383.

Almost surely, 2^5728100 is an apocalyptic number.

5728100 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 5728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

5728100 is an abundant number, since it is smaller than the sum of its proper divisors (8854300).

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

5728100 is a wasteful number, since it uses less digits than its factorization.

5728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 5728100 is about 2393.3449396190. The cubic root of 5728100 is about 178.9246585337.

The spelling of 5728100 in words is "five million, seven hundred twenty-eight thousand, one hundred".