5628671100 has 288 divisors, whose sum is σ = 20635554240. Its totient is φ = 1303879680.

The previous prime is 5628671057. The next prime is 5628671123. The reversal of 5628671100 is 11768265.

5628671100 is a `hidden beast` number, since 562 + 86 + 7 + 1 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591984 + ... + 601416.

It is an arithmetic number, because the mean of its divisors is an integer number (71651230).

Almost surely, 2^5628671100 is an apocalyptic number.

5628671100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628671100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317777120).

5628671100 is an abundant number, since it is smaller than the sum of its proper divisors (15006883140).

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

5628671100 is a wasteful number, since it uses less digits than its factorization.

5628671100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5628671100 is about 75024.4700081247. The cubic root of 5628671100 is about 1778.8334632488.

The spelling of 5628671100 in words is "five billion, six hundred twenty-eight million, six hundred seventy-one thousand, one hundred".