8194928400 has 90 divisors (see below), whose sum is σ = 28438690410. Its totient is φ = 2185313280.

The previous prime is 8194928393. The next prime is 8194928447. The reversal of 8194928400 is 48294918.

8194928400 is a `hidden beast` number, since 81 + 9 + 492 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 131606784 + 8063321616 = 11472^2 + 89796^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×8194928400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1134585 + ... + 1141784.

It is an arithmetic number, because the mean of its divisors is an integer number (315985449).

Almost surely, 2^8194928400 is an apocalyptic number.

8194928400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8194928400 is an abundant number, since it is smaller than the sum of its proper divisors (20243762010).

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

8194928400 is a wasteful number, since it uses less digits than its factorization.

8194928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276393 (or 2276379 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8194928400 is about 90525.8438237391. The cubic root of 8194928400 is about 2016.1138564759.

The spelling of 8194928400 in words is "eight billion, one hundred ninety-four million, nine hundred twenty-eight thousand, four hundred".