628251531264 has 576 divisors, whose sum is σ = 2244312645120. Its totient is φ = 171674173440.

The previous prime is 628251531263. The next prime is 628251531283. The reversal of 628251531264 is 462135152826.

628251531264 is a `hidden beast` number, since 6 + 2 + 8 + 2 + 51 + 531 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628251531263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80119984 + ... + 80127824.

It is an arithmetic number, because the mean of its divisors is an integer number (3896376120).

Almost surely, 2^628251531264 is an apocalyptic number.

628251531264 is a gapful number since it is divisible by the number (64) 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 628251531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122156322560).

628251531264 is an abundant number, since it is smaller than the sum of its proper divisors (1616061113856).

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

628251531264 is an equidigital number, since it uses as much as digits as its factorization.

628251531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7876 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 628251531264 in words is "six hundred twenty-eight billion, two hundred fifty-one million, five hundred thirty-one thousand, two hundred sixty-four".