88828200 has 144 divisors (see below), whose sum is σ = 303579900. Its totient is φ = 23270400.

The previous prime is 88828199. The next prime is 88828219. The reversal of 88828200 is 282888.

It can be written as a sum of positive squares in 6 ways, for example, as 24860196 + 63968004 = 4986^2 + 7998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109396 + ... + 110204.

Almost surely, 2^88828200 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 88828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151789950).

88828200 is an abundant number, since it is smaller than the sum of its proper divisors (214751700).

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

88828200 is a wasteful number, since it uses less digits than its factorization.

88828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88828200 is about 9424.8713519071. The cubic root of 88828200 is about 446.1870424094.

The spelling of 88828200 in words is "eighty-eight million, eight hundred twenty-eight thousand, two hundred".