88828120 has 64 divisors (see below), whose sum is σ = 209796480. Its totient is φ = 33808896.

The previous prime is 88828081. The next prime is 88828121. The reversal of 88828120 is 2182888.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 88828120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88828121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68922 + ... + 70198.

It is an arithmetic number, because the mean of its divisors is an integer number (3278070).

Almost surely, 2^88828120 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 88828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104898240).

88828120 is an abundant number, since it is smaller than the sum of its proper divisors (120968360).

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

88828120 is a wasteful number, since it uses less digits than its factorization.

88828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 88828120 is about 9424.8671078164. The cubic root of 88828120 is about 446.1869084618.

The spelling of 88828120 in words is "eighty-eight million, eight hundred twenty-eight thousand, one hundred twenty".