2928992644900 has 243 divisors, whose sum is σ = 7736330188881. Its totient is φ = 959660412480.

The previous prime is 2928992644861. The next prime is 2928992644927. The reversal of 2928992644900 is 94462998292.

The square root of 2928992644900 is 1711430.

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., 1054437352164 + 1874555292736 = 1026858^2 + 1369144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2755401769 + ... + 2755402831.

Almost surely, 2^{2928992644900} is an apocalyptic number.

2928992644900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2928992644900 is the 1711430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928992644900

2928992644900 is an abundant number, since it is smaller than the sum of its proper divisors (4807337543981).

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

2928992644900 is a wasteful number, since it uses less digits than its factorization.

2928992644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

Multiplying 2928992644900 by its sum of digits (64), we get a square (187455529273600 = 13691440²).

The spelling of 2928992644900 in words is "two trillion, nine hundred twenty-eight billion, nine hundred ninety-two million, six hundred forty-four thousand, nine hundred".