2925728100 has 135 divisors (see below), whose sum is σ = 9499861371. Its totient is φ = 778896000.

The previous prime is 2925728077. The next prime is 2925728119. The reversal of 2925728100 is 18275292.

The square root of 2925728100 is 54090.

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

2925728100 is a `hidden beast` number, since 2 + 9 + 2 + 572 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155600676 + 2770127424 = 12474^2 + 52632^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×2925728100² = 17119769830259220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4867800 + ... + 4868400.

Almost surely, 2^2925728100 is an apocalyptic number.

2925728100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2925728100 is the 54090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2925728100

2925728100 is an abundant number, since it is smaller than the sum of its proper divisors (6574133271).

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

2925728100 is an equidigital number, since it uses as much as digits as its factorization.

2925728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 2925728100 is about 1430.2479072049.

Multiplying 2925728100 by its sum of digits (36), we get a square (105326211600 = 324540²).

2925728100 divided by its sum of digits (36) gives a square (81270225 = 9015²).

It can be divided in two parts, 2925 and 728100, that added together give a square (731025 = 855²).

The spelling of 2925728100 in words is "two billion, nine hundred twenty-five million, seven hundred twenty-eight thousand, one hundred".