828724960 has 192 divisors, whose sum is σ = 2382815232. Its totient is φ = 266213376.

The previous prime is 828724921. The next prime is 828725011. The reversal of 828724960 is 69427828.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 828724960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364977 + ... + 1365583.

It is an arithmetic number, because the mean of its divisors is an integer number (12410496).

Almost surely, 2^828724960 is an apocalyptic number.

828724960 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 828724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191407616).

828724960 is an abundant number, since it is smaller than the sum of its proper divisors (1554090272).

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

828724960 is a wasteful number, since it uses less digits than its factorization.

828724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 828724960 is about 28787.5834345295. The cubic root of 828724960 is about 939.2981633035.

The spelling of 828724960 in words is "eight hundred twenty-eight million, seven hundred twenty-four thousand, nine hundred sixty".