10028071520 has 96 divisors (see below), whose sum is σ = 25763155488. Its totient is φ = 3673202688.

The previous prime is 10028071499. The next prime is 10028071523. The reversal of 10028071520 is 2517082001.

It is a super-2 number, since 2×10028071520² (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 10028071520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028071523) 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, 50819 + ... + 150461.

It is an arithmetic number, because the mean of its divisors is an integer number (268366203).

Almost surely, 2^10028071520 is an apocalyptic number.

10028071520 is a gapful number since it is divisible by the number (10) 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 10028071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881577744).

10028071520 is an abundant number, since it is smaller than the sum of its proper divisors (15735083968).

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

10028071520 is a wasteful number, since it uses less digits than its factorization.

10028071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99712 (or 99704 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The spelling of 10028071520 in words is "ten billion, twenty-eight million, seventy-one thousand, five hundred twenty".