88823280 has 320 divisors, whose sum is σ = 349977600. Its totient is φ = 18514944.

The previous prime is 88823239. The next prime is 88823281. The reversal of 88823280 is 8232888.

It is a super-3 number, since 3×88823280³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88823281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070119 + ... + 1070201.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^88823280 is an apocalyptic number.

88823280 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 88823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

88823280 is an abundant number, since it is smaller than the sum of its proper divisors (261154320).

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

88823280 is a wasteful number, since it uses less digits than its factorization.

88823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 88823280 is about 9424.6103367726. The cubic root of 88823280 is about 446.1788044820.

It can be divided in two parts, 8 and 8823280, that added together give a palindrome (8823288).

The spelling of 88823280 in words is "eighty-eight million, eight hundred twenty-three thousand, two hundred eighty".