828047520 has 72 divisors (see below), whose sum is σ = 2825717076. Its totient is φ = 220812288.

The previous prime is 828047503. The next prime is 828047533. The reversal of 828047520 is 25740828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 695060496 + 132987024 = 26364^2 + 11532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 286077 + ... + 288956.

Almost surely, 2^828047520 is an apocalyptic number.

828047520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828047520 is an abundant number, since it is smaller than the sum of its proper divisors (1997669556).

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

828047520 is a wasteful number, since it uses less digits than its factorization.

828047520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575054 (or 575043 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 828047520 is about 28775.8148451091. The cubic root of 828047520 is about 939.0421508977.

The spelling of 828047520 in words is "eight hundred twenty-eight million, forty-seven thousand, five hundred twenty".