900828 has 48 divisors (see below), whose sum is σ = 2464000. Its totient is φ = 283824.

The previous prime is 900821. The next prime is 900863. The reversal of 900828 is 828009.

It is a super-3 number, since 3×900828³ = 2193041674933390656, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900821) by changing a digit.

900828 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 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 2271.

2⁹⁰⁰⁸²⁸ 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 900828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232000).

900828 is an abundant number, since it is smaller than the sum of its proper divisors (1563172).

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

900828 is a wasteful number, since it uses less digits than its factorization.

900828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 900828 is about 949.1195920431. The cubic root of 900828 is about 96.5785377264.

It can be divided in two parts, 900 and 828, that added together give a cube (1728 = 12³).

The spelling of 900828 in words is "nine hundred thousand, eight hundred twenty-eight".