628159104 has 64 divisors (see below), whose sum is σ = 1853952000. Its totient is φ = 209385216.

The previous prime is 628159067. The next prime is 628159109. The reversal of 628159104 is 401951826.

628159104 is a `hidden beast` number, since 62 + 8 + 1 + 591 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (628159109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87424 + ... + 94335.

It is an arithmetic number, because the mean of its divisors is an integer number (28968000).

Almost surely, 2^628159104 is an apocalyptic number.

628159104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

628159104 is an abundant number, since it is smaller than the sum of its proper divisors (1225792896).

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

628159104 is a wasteful number, since it uses less digits than its factorization.

628159104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181782 (or 181764 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 628159104 is about 25063.1024416372. The cubic root of 628159104 is about 856.4260842050.

The spelling of 628159104 in words is "six hundred twenty-eight million, one hundred fifty-nine thousand, one hundred four".