828721152 has 192 divisors, whose sum is σ = 2806876800. Its totient is φ = 236666880.

The previous prime is 828721147. The next prime is 828721181. The reversal of 828721152 is 251127828.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386002 + ... + 388142.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^828721152 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 828721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

828721152 is an abundant number, since it is smaller than the sum of its proper divisors (1978155648).

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

828721152 is a wasteful number, since it uses less digits than its factorization.

828721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2153 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 828721152 is about 28787.5172948276. The cubic root of 828721152 is about 939.2967246063.

The spelling of 828721152 in words is "eight hundred twenty-eight million, seven hundred twenty-one thousand, one hundred fifty-two".