88508448 has 144 divisors (see below), whose sum is σ = 294630336. Its totient is φ = 24675840.

The previous prime is 88508419. The next prime is 88508467. The reversal of 88508448 is 84480588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86178 + ... + 87198.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 2^88508448 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 88508448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

88508448 is an abundant number, since it is smaller than the sum of its proper divisors (206121888).

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

88508448 is a wasteful number, since it uses less digits than its factorization.

88508448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1076 counting only the distinct ones).

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

The square root of 88508448 is about 9407.8928565328. The cubic root of 88508448 is about 445.6510237067.

It can be divided in two parts, 88 and 508448, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 88508448 in words is "eighty-eight million, five hundred eight thousand, four hundred forty-eight".