10152943728 has 320 divisors, whose sum is σ = 30199495680. Its totient is φ = 2921611264.

The previous prime is 10152943687. The next prime is 10152943739. The reversal of 10152943728 is 82734925101.

It is a self number, because there is not a number n which added to its sum of digits gives 10152943728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58687450 + ... + 58687622.

It is an arithmetic number, because the mean of its divisors is an integer number (94373424).

Almost surely, 2^10152943728 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 10152943728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099747840).

10152943728 is an abundant number, since it is smaller than the sum of its proper divisors (20046551952).

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

10152943728 is a wasteful number, since it uses less digits than its factorization.

10152943728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10152943728 in words is "ten billion, one hundred fifty-two million, nine hundred forty-three thousand, seven hundred twenty-eight".