88289280 has 156 divisors (see below), whose sum is σ = 306671040. Its totient is φ = 23494656.

The previous prime is 88289263. The next prime is 88289287. The reversal of 88289280 is 8298288.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (88289287) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 184081 + ... + 184559.

It is an arithmetic number, because the mean of its divisors is an integer number (1965840).

Almost surely, 2^88289280 is an apocalyptic number.

88289280 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 88289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153335520).

88289280 is an abundant number, since it is smaller than the sum of its proper divisors (218381760).

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

88289280 is a wasteful number, since it uses less digits than its factorization.

88289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88289280 is about 9396.2375448900. The cubic root of 88289280 is about 445.2828736338.

The spelling of 88289280 in words is "eighty-eight million, two hundred eighty-nine thousand, two hundred eighty".