828142240 has 48 divisors (see below), whose sum is σ = 1959939072. Its totient is φ = 330672384.

The previous prime is 828142213. The next prime is 828142291. The reversal of 828142240 is 42241828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92857 + ... + 101383.

It is an arithmetic number, because the mean of its divisors is an integer number (40832064).

Almost surely, 2^828142240 is an apocalyptic number.

828142240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828142240 is an abundant number, since it is smaller than the sum of its proper divisors (1131796832).

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

828142240 is a wasteful number, since it uses less digits than its factorization.

828142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 828142240 is about 28777.4606245930. The cubic root of 828142240 is about 939.0779550752.

The spelling of 828142240 in words is "eight hundred twenty-eight million, one hundred forty-two thousand, two hundred forty".