628242900 has 144 divisors (see below), whose sum is σ = 1921210368. Its totient is φ = 158256000.

The previous prime is 628242893. The next prime is 628242911. The reversal of 628242900 is 9242826.

628242900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399115 + ... + 400685.

Almost surely, 2^628242900 is an apocalyptic number.

628242900 is a gapful number since it is divisible by the number (60) 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 628242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960605184).

628242900 is an abundant number, since it is smaller than the sum of its proper divisors (1292967468).

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

628242900 is a wasteful number, since it uses less digits than its factorization.

628242900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 628242900 is about 25064.7740863547. The cubic root of 628242900 is about 856.4641647320.

The spelling of 628242900 in words is "six hundred twenty-eight million, two hundred forty-two thousand, nine hundred".