8024728320 has 360 divisors, whose sum is σ = 32818905504. Its totient is φ = 1834057728.

The previous prime is 8024728319. The next prime is 8024728363. The reversal of 8024728320 is 238274208.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 720232 + ... + 731288.

Almost surely, 2^8024728320 is an apocalyptic number.

8024728320 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 8024728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409452752).

8024728320 is an abundant number, since it is smaller than the sum of its proper divisors (24794177184).

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

8024728320 is a wasteful number, since it uses less digits than its factorization.

8024728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8024728320 is about 89580.8479531200. The cubic root of 8024728320 is about 2002.0585737434.

The spelling of 8024728320 in words is "eight billion, twenty-four million, seven hundred twenty-eight thousand, three hundred twenty".