823829952 has 84 divisors (see below), whose sum is σ = 2395954568. Its totient is φ = 249638400.

The previous prime is 823829891. The next prime is 823829971. The reversal of 823829952 is 259928328.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5502 + ... + 40962.

Almost surely, 2^823829952 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 823829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197977284).

823829952 is an abundant number, since it is smaller than the sum of its proper divisors (1572124616).

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

823829952 is a wasteful number, since it uses less digits than its factorization.

823829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35498 (or 35477 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 823829952 is about 28702.4380845948. The cubic root of 823829952 is about 937.4451341402.

The spelling of 823829952 in words is "eight hundred twenty-three million, eight hundred twenty-nine thousand, nine hundred fifty-two".