1028828848824 has 96 divisors (see below), whose sum is σ = 3294279612000. Its totient is φ = 283814850816.

The previous prime is 1028828848819. The next prime is 1028828848871. The reversal of 1028828848824 is 4288488288201.

1028828848824 is a `hidden beast` number, since 10 + 288 + 288 + 48 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35180679 + ... + 35209910.

It is an arithmetic number, because the mean of its divisors is an integer number (34315412625).

Almost surely, 2^{1028828848824} is an apocalyptic number.

1028828848824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1028828848824 is an abundant number, since it is smaller than the sum of its proper divisors (2265450763176).

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

1028828848824 is a wasteful number, since it uses less digits than its factorization.

1028828848824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70390637 (or 70390630 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 63.

The spelling of 1028828848824 in words is "one trillion, twenty-eight billion, eight hundred twenty-eight million, eight hundred forty-eight thousand, eight hundred twenty-four".