628257420 has 432 divisors, whose sum is σ = 2449923840. Its totient is φ = 129330432.

The previous prime is 628257407. The next prime is 628257431. The reversal of 628257420 is 24752826.

628257420 is a `hidden beast` number, since 6 + 2 + 82 + 574 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3854259 + ... + 3854421.

It is an arithmetic number, because the mean of its divisors is an integer number (5671120).

Almost surely, 2^628257420 is an apocalyptic number.

628257420 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 628257420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224961920).

628257420 is an abundant number, since it is smaller than the sum of its proper divisors (1821666420).

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

628257420 is a wasteful number, since it uses less digits than its factorization.

628257420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 628257420 is about 25065.0637342098. The cubic root of 628257420 is about 856.4707629039.

The spelling of 628257420 in words is "six hundred twenty-eight million, two hundred fifty-seven thousand, four hundred twenty".