8253993528 has 192 divisors, whose sum is σ = 26400556800. Its totient is φ = 2369321280.

The previous prime is 8253993523. The next prime is 8253993533.

8253993528 is a `hidden beast` number, since 8 + 25 + 3 + 9 + 93 + 528 = 666.

8253993528 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8253993523) and next prime (8253993533).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8253993521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852925 + ... + 862547.

It is an arithmetic number, because the mean of its divisors is an integer number (137502900).

Almost surely, 2^8253993528 is an apocalyptic number.

8253993528 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 8253993528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200278400).

8253993528 is an abundant number, since it is smaller than the sum of its proper divisors (18146563272).

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

8253993528 is a wasteful number, since it uses less digits than its factorization.

8253993528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9658 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 8253993528 is about 90851.4916113104. The cubic root of 8253993528 is about 2020.9459941860.

The spelling of 8253993528 in words is "eight billion, two hundred fifty-three million, nine hundred ninety-three thousand, five hundred twenty-eight".