828215424 has 48 divisors (see below), whose sum is σ = 2383279470. Its totient is φ = 276071424.

The previous prime is 828215419. The next prime is 828215431. The reversal of 828215424 is 424512828.

It can be written as a sum of positive squares in only one way, i.e., 771061824 + 57153600 = 27768^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 358317 + ... + 360620.

Almost surely, 2^828215424 is an apocalyptic number.

It is an amenable number.

828215424 is an abundant number, since it is smaller than the sum of its proper divisors (1555064046).

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

828215424 is a wasteful number, since it uses less digits than its factorization.

828215424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718957 (or 718942 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 828215424 is about 28778.7321471951. The cubic root of 828215424 is about 939.1056167712.

The spelling of 828215424 in words is "eight hundred twenty-eight million, two hundred fifteen thousand, four hundred twenty-four".