88280320 has 72 divisors (see below), whose sum is σ = 223952904. Its totient is φ = 33226752.

The previous prime is 88280317. The next prime is 88280329. The reversal of 88280320 is 2308288.

It can be written as a sum of positive squares in 4 ways, for example, as 18524416 + 69755904 = 4304^2 + 8352^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88280329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19732 + ... + 23788.

It is an arithmetic number, because the mean of its divisors is an integer number (3110457).

Almost surely, 2^88280320 is an apocalyptic number.

88280320 is a gapful number since it is divisible by the number (80) 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 88280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111976452).

88280320 is an abundant number, since it is smaller than the sum of its proper divisors (135672584).

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

88280320 is a wasteful number, since it uses less digits than its factorization.

88280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 88280320 is about 9395.7607462089. The cubic root of 88280320 is about 445.2678100099.

The spelling of 88280320 in words is "eighty-eight million, two hundred eighty thousand, three hundred twenty".