828182880 has 576 divisors, whose sum is σ = 3566384640. Its totient is φ = 177168384.

The previous prime is 828182869. The next prime is 828182921. The reversal of 828182880 is 88281828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626631 + ... + 4626809.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^828182880 is an apocalyptic number.

828182880 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 828182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

828182880 is an abundant number, since it is smaller than the sum of its proper divisors (2738201760).

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

828182880 is a wasteful number, since it uses less digits than its factorization.

828182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 828182880 is about 28778.1667240983. The cubic root of 828182880 is about 939.0933161658.

The spelling of 828182880 in words is "eight hundred twenty-eight million, one hundred eighty-two thousand, eight hundred eighty".