628243200 has 324 divisors, whose sum is σ = 2421772080. Its totient is φ = 154460160.

The previous prime is 628243163. The next prime is 628243261. The reversal of 628243200 is 2342826.

628243200 is a `hidden beast` number, since 628 + 2 + 4 + 32 + 0 + 0 = 666.

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, 748381 + ... + 749219.

Almost surely, 2^628243200 is an apocalyptic number.

628243200 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 628243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210886040).

628243200 is an abundant number, since it is smaller than the sum of its proper divisors (1793528880).

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

628243200 is a wasteful number, since it uses less digits than its factorization.

628243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 628243200 is about 25064.7800708484. The cubic root of 628243200 is about 856.4643010589.

The spelling of 628243200 in words is "six hundred twenty-eight million, two hundred forty-three thousand, two hundred".