88256448 has 252 divisors, whose sum is σ = 304906680. Its totient is φ = 24321024.

The previous prime is 88256437. The next prime is 88256453. The reversal of 88256448 is 84465288.

88256448 is a `hidden beast` number, since 8 + 82 + 564 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×88256448² = 15578401227153408, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495843 + ... + 1495901.

Almost surely, 2^88256448 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 88256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152453340).

88256448 is an abundant number, since it is smaller than the sum of its proper divisors (216650232).

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

88256448 is a wasteful number, since it uses less digits than its factorization.

88256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 88256448 is about 9394.4903001706. The cubic root of 88256448 is about 445.2276712360.

It can be divided in two parts, 882 and 56448, that multiplied together give a 4-th power (49787136 = 84⁴).

The spelling of 88256448 in words is "eighty-eight million, two hundred fifty-six thousand, four hundred forty-eight".