621633628 has 144 divisors (see below), whose sum is σ = 1486501632. Its totient is φ = 221760000.

The previous prime is 621633599. The next prime is 621633637. The reversal of 621633628 is 826336126.

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, 2476503 + ... + 2476753.

It is an arithmetic number, because the mean of its divisors is an integer number (10322928).

Almost surely, 2^621633628 is an apocalyptic number.

621633628 is a gapful number since it is divisible by the number (68) 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 621633628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743250816).

621633628 is an abundant number, since it is smaller than the sum of its proper divisors (864868004).

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

621633628 is a wasteful number, since it uses less digits than its factorization.

621633628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 621633628 is about 24932.5816553361. The cubic root of 621633628 is about 853.4501650067.

The spelling of 621633628 in words is "six hundred twenty-one million, six hundred thirty-three thousand, six hundred twenty-eight".