828690900 has 72 divisors (see below), whose sum is σ = 2406762624. Its totient is φ = 220147200.

The previous prime is 828690899. The next prime is 828690901. The reversal of 828690900 is 9096828.

It is an interprime number because it is at equal distance from previous prime (828690899) and next prime (828690901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828690901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76204 + ... + 86396.

Almost surely, 2^828690900 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 828690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203381312).

828690900 is an abundant number, since it is smaller than the sum of its proper divisors (1578071724).

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

828690900 is a wasteful number, since it uses less digits than its factorization.

828690900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 828690900 is about 28786.9918539607. The cubic root of 828690900 is about 939.2852949675.

The spelling of 828690900 in words is "eight hundred twenty-eight million, six hundred ninety thousand, nine hundred".