628268270400 has 840 divisors, whose sum is σ = 2396001003264. Its totient is φ = 161309491200.

The previous prime is 628268270389. The next prime is 628268270401. The reversal of 628268270400 is 4072862826.

628268270400 is a `hidden beast` number, since 6 + 282 + 68 + 270 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628268270401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1418212579 + ... + 1418213021.

Almost surely, 2^628268270400 is an apocalyptic number.

628268270400 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 628268270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198000501632).

628268270400 is an abundant number, since it is smaller than the sum of its proper divisors (1767732732864).

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

628268270400 is a wasteful number, since it uses less digits than its factorization.

628268270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 628268270400 in words is "six hundred twenty-eight billion, two hundred sixty-eight million, two hundred seventy thousand, four hundred".