628764934320 has 480 divisors, whose sum is σ = 2385179481600. Its totient is φ = 151935201792.

The previous prime is 628764934271. The next prime is 628764934321. The reversal of 628764934320 is 23439467826.

628764934320 is a `hidden beast` number, since 6 + 28 + 76 + 493 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (628764934321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17916951 + ... + 17952009.

It is an arithmetic number, because the mean of its divisors is an integer number (4969123920).

Almost surely, 2^628764934320 is an apocalyptic number.

628764934320 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 628764934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192589740800).

628764934320 is an abundant number, since it is smaller than the sum of its proper divisors (1756414547280).

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

628764934320 is a wasteful number, since it uses less digits than its factorization.

628764934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35142 (or 35111 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 628764934320 in words is "six hundred twenty-eight billion, seven hundred sixty-four million, nine hundred thirty-four thousand, three hundred twenty".