88828880 has 80 divisors (see below), whose sum is σ = 238080000. Its totient is φ = 30191616.

The previous prime is 88828879. The next prime is 88828903. The reversal of 88828880 is 8882888.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×88828880³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70496 + ... + 71744.

It is an arithmetic number, because the mean of its divisors is an integer number (2976000).

Almost surely, 2^88828880 is an apocalyptic number.

88828880 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 88828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040000).

88828880 is an abundant number, since it is smaller than the sum of its proper divisors (149251120).

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

88828880 is a wasteful number, since it uses less digits than its factorization.

88828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 50.

The square root of 88828880 is about 9424.9074266011. The cubic root of 88828880 is about 446.1881809608.

The spelling of 88828880 in words is "eighty-eight million, eight hundred twenty-eight thousand, eight hundred eighty".