8302428288 has 384 divisors, whose sum is σ = 31102574400. Its totient is φ = 2155991040.

The previous prime is 8302428247. The next prime is 8302428293. The reversal of 8302428288 is 8828242038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8302428288² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860556 + ... + 1865012.

Almost surely, 2^8302428288 is an apocalyptic number.

8302428288 is a gapful number since it is divisible by the number (88) 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 8302428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551287200).

8302428288 is an abundant number, since it is smaller than the sum of its proper divisors (22800146112).

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

8302428288 is a wasteful number, since it uses less digits than its factorization.

8302428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8302428288 is about 91117.6617786036. The cubic root of 8302428288 is about 2024.8912841498.

The spelling of 8302428288 in words is "eight billion, three hundred two million, four hundred twenty-eight thousand, two hundred eighty-eight".