677629728 has 36 divisors (see below), whose sum is σ = 1927010358. Its totient is φ = 225876480.

The previous prime is 677629649. The next prime is 677629763. The reversal of 677629728 is 827926776.

677629728 is a `hidden beast` number, since 6 + 7 + 7 + 629 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 666259344 + 11370384 = 25812^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1176153 + ... + 1176728.

Almost surely, 2^677629728 is an apocalyptic number.

It is an amenable number.

677629728 is an abundant number, since it is smaller than the sum of its proper divisors (1249380630).

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

677629728 is a wasteful number, since it uses less digits than its factorization.

677629728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352897 (or 2352886 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 677629728 is about 26031.3220563228. The cubic root of 677629728 is about 878.3430114222.

The spelling of 677629728 in words is "six hundred seventy-seven million, six hundred twenty-nine thousand, seven hundred twenty-eight".