828158800 has 360 divisors, whose sum is σ = 2524124160. Its totient is φ = 259660800.

The previous prime is 828158789. The next prime is 828158809. The reversal of 828158800 is 8851828.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828158809) 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, 17620377 + ... + 17620423.

It is an arithmetic number, because the mean of its divisors is an integer number (7011456).

Almost surely, 2^828158800 is an apocalyptic number.

828158800 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 828158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262062080).

828158800 is an abundant number, since it is smaller than the sum of its proper divisors (1695965360).

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

828158800 is a wasteful number, since it uses less digits than its factorization.

828158800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 828158800 is about 28777.7483483333. The cubic root of 828158800 is about 939.0842144779.

It can be divided in two parts, 8281 and 58800, that added together give a square (67081 = 259²).

The spelling of 828158800 in words is "eight hundred twenty-eight million, one hundred fifty-eight thousand, eight hundred".