88828 has 12 divisors (see below), whose sum is σ = 158760. Its totient is φ = 43472.

The previous prime is 88819. The next prime is 88843. The reversal of 88828 is 82888.

It is a junction number, because it is equal to n+sod(n) for n = 88793 and 88802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2⁸⁸⁸²⁸ is an apocalyptic number.

It is an amenable number.

88828 is a deficient number, since it is larger than the sum of its proper divisors (69932).

88828 is a wasteful number, since it uses less digits than its factorization.

88828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its digits is 8192, while the sum is 34.

The square root of 88828 is about 298.0402657360. The cubic root of 88828 is about 44.6186707540.

Adding to 88828 its product of digits (8192), we get a triangular number (97020 = T₄₄₀).

It can be divided in two parts, 8 and 8828, that added together give a square (8836 = 94²).

The spelling of 88828 in words is "eighty-eight thousand, eight hundred twenty-eight".