8280719328 has 144 divisors (see below), whose sum is σ = 25606990080. Its totient is φ = 2335866624.

The previous prime is 8280719309. The next prime is 8280719333. The reversal of 8280719328 is 8239170828.

It is a super-2 number, since 2×8280719328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360475 + ... + 382757.

It is an arithmetic number, because the mean of its divisors is an integer number (177826320).

Almost surely, 2^8280719328 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 8280719328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803495040).

8280719328 is an abundant number, since it is smaller than the sum of its proper divisors (17326270752).

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

8280719328 is a wasteful number, since it uses less digits than its factorization.

8280719328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22389 (or 22374 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 8280719328 is about 90998.4578330864. The cubic root of 8280719328 is about 2023.1248670746.

The spelling of 8280719328 in words is "eight billion, two hundred eighty million, seven hundred nineteen thousand, three hundred twenty-eight".