628629100 has 72 divisors (see below), whose sum is σ = 1552900608. Its totient is φ = 218644800.

The previous prime is 628629091. The next prime is 628629103. The reversal of 628629100 is 1926826.

It is a happy number.

628629100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (628629103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12877 + ... + 37723.

It is an arithmetic number, because the mean of its divisors is an integer number (21568064).

Almost surely, 2^628629100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628629100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776450304).

628629100 is an abundant number, since it is smaller than the sum of its proper divisors (924271508).

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

628629100 is a wasteful number, since it uses less digits than its factorization.

628629100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24895 (or 24888 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 628629100 is about 25072.4769418580. The cubic root of 628629100 is about 856.6396269649.

The spelling of 628629100 in words is "six hundred twenty-eight million, six hundred twenty-nine thousand, one hundred".