10151731728 has 80 divisors (see below), whose sum is σ = 29574228160. Its totient is φ = 3333394944.

The previous prime is 10151731703. The next prime is 10151731729. The reversal of 10151731728 is 82713715101.

10151731728 is a `hidden beast` number, since 101 + 517 + 3 + 17 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10151731692 and 10151731701.

It is not an unprimeable number, because it can be changed into a prime (10151731729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 146425 + ... + 204312.

It is an arithmetic number, because the mean of its divisors is an integer number (369677852).

Almost surely, 2^10151731728 is an apocalyptic number.

10151731728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10151731728 is an abundant number, since it is smaller than the sum of its proper divisors (19422496432).

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

10151731728 is a wasteful number, since it uses less digits than its factorization.

10151731728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350821 (or 350809 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10151731728 in words is "ten billion, one hundred fifty-one million, seven hundred thirty-one thousand, seven hundred twenty-eight".