8513028720 has 540 divisors, whose sum is σ = 34638981624. Its totient is φ = 1939956480.

The previous prime is 8513028697. The next prime is 8513028731. The reversal of 8513028720 is 278203158.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25718955 + ... + 25719285.

Almost surely, 2^8513028720 is an apocalyptic number.

8513028720 is a gapful number since it is divisible by the number (80) 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 8513028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17319490812).

8513028720 is an abundant number, since it is smaller than the sum of its proper divisors (26125952904).

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

8513028720 is an equidigital number, since it uses as much as digits as its factorization.

8513028720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8513028720 is about 92266.0756724811. The cubic root of 8513028720 is about 2041.8697390753.

The spelling of 8513028720 in words is "eight billion, five hundred thirteen million, twenty-eight thousand, seven hundred twenty".