202888 has 16 divisors (see below), whose sum is σ = 434880. Its totient is φ = 86928.

The previous prime is 202879. The next prime is 202889. The reversal of 202888 is 888202.

202888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (202889) by changing a digit.

202888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1756 + ... + 1867.

It is an arithmetic number, because the mean of its divisors is an integer number (27180).

2²⁰²⁸⁸⁸ is an apocalyptic number.

202888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

202888 is an abundant number, since it is smaller than the sum of its proper divisors (231992).

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

202888 is a wasteful number, since it uses less digits than its factorization.

202888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 202888 is about 450.4309048012. The cubic root of 202888 is about 58.7604960876.

It can be divided in two parts, 2028 and 88, that added together give a square (2116 = 46²).

The spelling of 202888 in words is "two hundred two thousand, eight hundred eighty-eight".