10231585728 has 896 divisors, whose sum is σ = 38916864000. Its totient is φ = 2341011456.

The previous prime is 10231585723. The next prime is 10231585781. The reversal of 10231585728 is 82758513201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10231585728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231585723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276529326 + ... + 276529362.

It is an arithmetic number, because the mean of its divisors is an integer number (43434000).

Almost surely, 2^10231585728 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 10231585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432000).

10231585728 is an abundant number, since it is smaller than the sum of its proper divisors (28685278272).

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

10231585728 is a wasteful number, since it uses less digits than its factorization.

10231585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 10231585728 in words is "ten billion, two hundred thirty-one million, five hundred eighty-five thousand, seven hundred twenty-eight".