828082752 has 84 divisors (see below), whose sum is σ = 2548707120. Its totient is φ = 236592384.

The previous prime is 828082741. The next prime is 828082763. The reversal of 828082752 is 257280828.

It is an interprime number because it is at equal distance from previous prime (828082741) and next prime (828082763).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34602 + ... + 53417.

Almost surely, 2^828082752 is an apocalyptic number.

It is an amenable number.

828082752 is an abundant number, since it is smaller than the sum of its proper divisors (1720624368).

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

828082752 is a wasteful number, since it uses less digits than its factorization.

828082752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88048 (or 88031 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 828082752 is about 28776.4270193504. The cubic root of 828082752 is about 939.0554689191.

The spelling of 828082752 in words is "eight hundred twenty-eight million, eighty-two thousand, seven hundred fifty-two".