8233254288 has 320 divisors, whose sum is σ = 28295331840. Its totient is φ = 2242598400.

The previous prime is 8233254283. The next prime is 8233254299. The reversal of 8233254288 is 8824523328.

It is a happy number.

8233254288 is a `hidden beast` number, since 8 + 23 + 3 + 2 + 542 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (8233254283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6655206 + ... + 6656442.

It is an arithmetic number, because the mean of its divisors is an integer number (88422912).

Almost surely, 2^8233254288 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 8233254288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147665920).

8233254288 is an abundant number, since it is smaller than the sum of its proper divisors (20062077552).

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

8233254288 is a wasteful number, since it uses less digits than its factorization.

8233254288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8233254288 is about 90737.2816872976. The cubic root of 8233254288 is about 2019.2519440347.

The spelling of 8233254288 in words is "eight billion, two hundred thirty-three million, two hundred fifty-four thousand, two hundred eighty-eight".