828621936 has 60 divisors (see below), whose sum is σ = 2332944432. Its totient is φ = 274545408.

The previous prime is 828621887. The next prime is 828621947. The reversal of 828621936 is 639126828.

It is a super-2 number, since 2×828621936² = 1373228625640776192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 828621891 and 828621900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6820 + ... + 41276.

Almost surely, 2^828621936 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 828621936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166472216).

828621936 is an abundant number, since it is smaller than the sum of its proper divisors (1504322496).

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

828621936 is a wasteful number, since it uses less digits than its factorization.

828621936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34638 (or 34629 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 828621936 is about 28785.7939963448. The cubic root of 828621936 is about 939.2592383409.

The spelling of 828621936 in words is "eight hundred twenty-eight million, six hundred twenty-one thousand, nine hundred thirty-six".