677593728 has 256 divisors, whose sum is σ = 2350406400. Its totient is φ = 188116992.

The previous prime is 677593727. The next prime is 677593733. The reversal of 677593728 is 827395776.

It is a super-3 number, since 3×677593728³ (a number of 27 digits) contains 333 as substring.

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 (677593727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894726 + ... + 895482.

It is an arithmetic number, because the mean of its divisors is an integer number (9181275).

Almost surely, 2^677593728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677593728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175203200).

677593728 is an abundant number, since it is smaller than the sum of its proper divisors (1672812672).

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

677593728 is a wasteful number, since it uses less digits than its factorization.

677593728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 806 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 677593728 is about 26030.6305724621. The cubic root of 677593728 is about 878.3274567581.

The spelling of 677593728 in words is "six hundred seventy-seven million, five hundred ninety-three thousand, seven hundred twenty-eight".