88547328 has 84 divisors (see below), whose sum is σ = 256000758. Its totient is φ = 29491200.

The previous prime is 88547317. The next prime is 88547351. The reversal of 88547328 is 82374588.

88547328 is a `hidden beast` number, since 88 + 547 + 3 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 36864 = 9408^2 + 192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73128 + ... + 74328.

Almost surely, 2^88547328 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 88547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128000379).

88547328 is an abundant number, since it is smaller than the sum of its proper divisors (167453430).

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

88547328 is a wasteful number, since it uses less digits than its factorization.

88547328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1206 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88547328 is about 9409.9589797193. The cubic root of 88547328 is about 445.7162693628.

The spelling of 88547328 in words is "eighty-eight million, five hundred forty-seven thousand, three hundred twenty-eight".