628527049920 has 672 divisors, whose sum is σ = 2812530539520. Its totient is φ = 124923617280.

The previous prime is 628527049889. The next prime is 628527049939. The reversal of 628527049920 is 29940725826.

628527049920 is a `hidden beast` number, since 6 + 2 + 8 + 527 + 0 + 4 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×628527049920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5038866 + ... + 5162094.

Almost surely, 2^628527049920 is an apocalyptic number.

628527049920 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 628527049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406265269760).

628527049920 is an abundant number, since it is smaller than the sum of its proper divisors (2184003489600).

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

628527049920 is a wasteful number, since it uses less digits than its factorization.

628527049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123293 (or 123280 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 628527049920 in words is "six hundred twenty-eight billion, five hundred twenty-seven million, forty-nine thousand, nine hundred twenty".