153828 has 18 divisors (see below), whose sum is σ = 388934. Its totient is φ = 51264.

The previous prime is 153817. The next prime is 153841. The reversal of 153828 is 828351.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 36864 = 342^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

153828 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 5 ways as a sum of consecutive naturals, for example, 2101 + ... + 2172.

2¹⁵³⁸²⁸ is an apocalyptic number.

153828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153828 is an abundant number, since it is smaller than the sum of its proper divisors (235106).

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

153828 is a wasteful number, since it uses less digits than its factorization.

153828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4278 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 153828 is about 392.2091278897. The cubic root of 153828 is about 53.5811212938.

The spelling of 153828 in words is "one hundred fifty-three thousand, eight hundred twenty-eight".