5762328100 has 27 divisors (see below), whose sum is σ = 12505899441. Its totient is φ = 2304627600.

The previous prime is 5762328097. The next prime is 5762328119. The reversal of 5762328100 is 18232675.

It is a happy number.

The square root of 5762328100 is 75910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2074438116 + 3687889984 = 45546^2 + 60728^2 .

It is a super-2 number, since 2×5762328100² = 66408850264099220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 755305 + ... + 762895.

Almost surely, 2^5762328100 is an apocalyptic number.

5762328100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5762328100 is the 75910-th square number.

It is an amenable number.

5762328100 is an abundant number, since it is smaller than the sum of its proper divisors (6743571341).

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

5762328100 is an frugal number, since it uses more digits than its factorization.

5762328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15196 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 5762328100 is about 1792.8033743883.

It can be divided in two parts, 576 and 2328100, that added together give a square (2328676 = 1526²).

The spelling of 5762328100 in words is "five billion, seven hundred sixty-two million, three hundred twenty-eight thousand, one hundred".