828703040 has 112 divisors (see below), whose sum is σ = 2162519424. Its totient is φ = 299980800.

The previous prime is 828703039. The next prime is 828703049. The reversal of 828703040 is 40307828.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 828702988 and 828703006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828703049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094342 + ... + 1095098.

Almost surely, 2^828703040 is an apocalyptic number.

828703040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081259712).

828703040 is an abundant number, since it is smaller than the sum of its proper divisors (1333816384).

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

828703040 is a wasteful number, since it uses less digits than its factorization.

828703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 828703040 is about 28787.2027123165. The cubic root of 828703040 is about 939.2898816667.

The spelling of 828703040 in words is "eight hundred twenty-eight million, seven hundred three thousand, forty".