828391032 has 288 divisors, whose sum is σ = 2817266400. Its totient is φ = 215115264.

The previous prime is 828390971. The next prime is 828391033. The reversal of 828391032 is 230193828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828391033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5276298 + ... + 5276454.

It is an arithmetic number, because the mean of its divisors is an integer number (9782175).

Almost surely, 2^828391032 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 828391032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408633200).

828391032 is an abundant number, since it is smaller than the sum of its proper divisors (1988875368).

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

828391032 is a wasteful number, since it uses less digits than its factorization.

828391032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 828391032 is about 28781.7829885502. The cubic root of 828391032 is about 939.1719854961.

The spelling of 828391032 in words is "eight hundred twenty-eight million, three hundred ninety-one thousand, thirty-two".