867859928100 has 405 divisors, whose sum is σ = 3095549558563. Its totient is φ = 210166704000.

The previous prime is 867859928071. The next prime is 867859928147. The reversal of 867859928100 is 1829958768.

It is a happy number.

The square root of 867859928100 is 931590.

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

867859928100 is a `hidden beast` number, since 8 + 6 + 7 + 8 + 599 + 28 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368870436 + 867491057664 = 19206^2 + 931392^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×867859928100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 922273630 + ... + 922274570.

Almost surely, 2^867859928100 is an apocalyptic number.

867859928100 is the 931590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867859928100

867859928100 is an abundant number, since it is smaller than the sum of its proper divisors (2227689630463).

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

867859928100 is a wasteful number, since it uses less digits than its factorization.

867859928100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 867859928100 in words is "eight hundred sixty-seven billion, eight hundred fifty-nine million, nine hundred twenty-eight thousand, one hundred".