828152352 has 288 divisors, whose sum is σ = 2629186560. Its totient is φ = 246343680.

The previous prime is 828152323. The next prime is 828152363. The reversal of 828152352 is 253251828.

828152352 is a `hidden beast` number, since 8 + 2 + 81 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 7597674 + ... + 7597782.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2^828152352 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 828152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314593280).

828152352 is an abundant number, since it is smaller than the sum of its proper divisors (1801034208).

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

828152352 is a wasteful number, since it uses less digits than its factorization.

828152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 828152352 is about 28777.6363171126. The cubic root of 828152352 is about 939.0817772518.

The spelling of 828152352 in words is "eight hundred twenty-eight million, one hundred fifty-two thousand, three hundred fifty-two".