628454400 has 396 divisors, whose sum is σ = 2430656928. Its totient is φ = 142786560.

The previous prime is 628454399. The next prime is 628454429. The reversal of 628454400 is 4454826.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763117 + ... + 3763283.

Almost surely, 2^628454400 is an apocalyptic number.

628454400 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 628454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215328464).

628454400 is an abundant number, since it is smaller than the sum of its proper divisors (1802202528).

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

628454400 is a wasteful number, since it uses less digits than its factorization.

628454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 628454400 is about 25068.9927998713. The cubic root of 628454400 is about 856.5602644239.

The spelling of 628454400 in words is "six hundred twenty-eight million, four hundred fifty-four thousand, four hundred".