625789728 has 144 divisors (see below), whose sum is σ = 1828008000. Its totient is φ = 203005440.

The previous prime is 625789687. The next prime is 625789729. The reversal of 625789728 is 827987526.

It is a happy number.

625789728 is a `hidden beast` number, since 62 + 578 + 9 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×625789728² = 783225567340627968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (625789729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3144573 + ... + 3144771.

It is an arithmetic number, because the mean of its divisors is an integer number (12694500).

Almost surely, 2^625789728 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 625789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004000).

625789728 is an abundant number, since it is smaller than the sum of its proper divisors (1202218272).

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

625789728 is a wasteful number, since it uses less digits than its factorization.

625789728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 625789728 is about 25015.7895737872. The cubic root of 625789728 is about 855.3479326728.

The spelling of 625789728 in words is "six hundred twenty-five million, seven hundred eighty-nine thousand, seven hundred twenty-eight".