628882800 has 360 divisors, whose sum is σ = 2498661504. Its totient is φ = 132387840.

The previous prime is 628882769. The next prime is 628882801. The reversal of 628882800 is 8288826.

It is a super-2 number, since 2×628882800² = 790987152271680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628882801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419379 + ... + 1419821.

Almost surely, 2^628882800 is an apocalyptic number.

628882800 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 628882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249330752).

628882800 is an abundant number, since it is smaller than the sum of its proper divisors (1869778704).

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

628882800 is a wasteful number, since it uses less digits than its factorization.

628882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 628882800 is about 25077.5357641057. The cubic root of 628882800 is about 856.7548513707.

The spelling of 628882800 in words is "six hundred twenty-eight million, eight hundred eighty-two thousand, eight hundred".