628045747200 has 924 divisors, whose sum is σ = 2371228432188. Its totient is φ = 164826316800.

The previous prime is 628045747157. The next prime is 628045747243. The reversal of 628045747200 is 2747540826.

It is a happy number.

628045747200 is a `hidden beast` number, since 6 + 2 + 8 + 0 + 4 + 574 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (628045747157) and next prime (628045747243).

It can be written as a sum of positive squares in 6 ways, for example, as 24726933504 + 603318813696 = 157248^2 + 776736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1362354970 + ... + 1362355430.

It is an arithmetic number, because the mean of its divisors is an integer number (2566264537).

Almost surely, 2^628045747200 is an apocalyptic number.

628045747200 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 628045747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185614216094).

628045747200 is an abundant number, since it is smaller than the sum of its proper divisors (1743182684988).

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

628045747200 is an equidigital number, since it uses as much as digits as its factorization.

628045747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 628045747200 in words is "six hundred twenty-eight billion, forty-five million, seven hundred forty-seven thousand, two hundred".