88252848 has 160 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 27095040.

The previous prime is 88252847. The next prime is 88252867. The reversal of 88252848 is 84825288.

88252848 is a `hidden beast` number, since 8 + 82 + 528 + 48 = 666.

It is a super-2 number, since 2×88252848² = 15577130360222208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88252841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447886 + ... + 448082.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^88252848 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 88252848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

88252848 is an abundant number, since it is smaller than the sum of its proper divisors (185747472).

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

88252848 is a wasteful number, since it uses less digits than its factorization.

88252848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 88252848 is about 9394.2986965499. The cubic root of 88252848 is about 445.2216175087.

The spelling of 88252848 in words is "eighty-eight million, two hundred fifty-two thousand, eight hundred forty-eight".