10504016928 has 96 divisors (see below), whose sum is σ = 30674548800. Its totient is φ = 3497015808.

The previous prime is 10504016927. The next prime is 10504016969. The reversal of 10504016928 is 82961040501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10504016928² (a number of 21 digits) contains 22 as substring.

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 = 10504016892 and 10504016901.

It is not an unprimeable number, because it can be changed into a prime (10504016921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735100 + ... + 749252.

It is an arithmetic number, because the mean of its divisors is an integer number (319526550).

Almost surely, 2^10504016928 is an apocalyptic number.

10504016928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10504016928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337274400).

10504016928 is an abundant number, since it is smaller than the sum of its proper divisors (20170531872).

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

10504016928 is a wasteful number, since it uses less digits than its factorization.

10504016928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15031 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10504016928 in words is "ten billion, five hundred four million, sixteen thousand, nine hundred twenty-eight".