8928360100 has 81 divisors (see below), whose sum is σ = 21320804001. Its totient is φ = 3242896800.

The previous prime is 8928360079. The next prime is 8928360139. The reversal of 8928360100 is 10638298.

The square root of 8928360100 is 94490.

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., 3214209636 + 5714150464 = 56694^2 + 75592^2 .

It is a super-2 number, since 2×8928360100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8928360100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10393471 + ... + 10394329.

Almost surely, 2^8928360100 is an apocalyptic number.

8928360100 is the 94490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8928360100

8928360100 is an abundant number, since it is smaller than the sum of its proper divisors (12392443901).

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

8928360100 is a wasteful number, since it uses less digits than its factorization.

8928360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 8928360100 is about 2074.5499657879.

Multiplying 8928360100 by its product of nonzero digits (20736), we get a square (185138475033600 = 13606560²).

Adding to 8928360100 its reverse (10638298), we get a palindrome (8938998398).

The spelling of 8928360100 in words is "eight billion, nine hundred twenty-eight million, three hundred sixty thousand, one hundred".