5186628000 has 144 divisors (see below), whose sum is σ = 18407470536. Its totient is φ = 1383091200.

The previous prime is 5186627993. The next prime is 5186628059. The reversal of 5186628000 is 8266815.

It is a happy number.

5186628000 is a `hidden beast` number, since 518 + 6 + 62 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2243348496 + 2943279504 = 47364^2 + 54252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5186628000² = 53802220020768000000, 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 23 ways as a sum of consecutive naturals, for example, 36037 + ... + 108036.

Almost surely, 2^5186628000 is an apocalyptic number.

5186628000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5186628000 is an abundant number, since it is smaller than the sum of its proper divisors (13220842536).

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

5186628000 is a wasteful number, since it uses less digits than its factorization.

5186628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144104 (or 144083 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5186628000 is about 72018.2476876521. The cubic root of 5186628000 is about 1730.9918911260.

The spelling of 5186628000 in words is "five billion, one hundred eighty-six million, six hundred twenty-eight thousand".