10302728625 has 192 divisors, whose sum is σ = 22958906880. Its totient is φ = 4339008000.

The previous prime is 10302728617. The next prime is 10302728627. The reversal of 10302728625 is 52682720301.

10302728625 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 7 + 28 + 625 = 666.

10302728625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10302728625 - 2³ = 10302728617 is a prime.

It is a super-2 number, since 2×10302728625² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10302728625.

It is not an unprimeable number, because it can be changed into a prime (10302728627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5535195 + ... + 5537055.

It is an arithmetic number, because the mean of its divisors is an integer number (119577640).

Almost surely, 2^10302728625 is an apocalyptic number.

10302728625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10302728625 is an abundant number, since it is smaller than the sum of its proper divisors (12656178255).

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

10302728625 is a wasteful number, since it uses less digits than its factorization.

10302728625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10302728625 in words is "ten billion, three hundred two million, seven hundred twenty-eight thousand, six hundred twenty-five".