1038828648024 has 256 divisors, whose sum is σ = 3021405235200. Its totient is φ = 330386466816.

The previous prime is 1038828647933. The next prime is 1038828648047. The reversal of 1038828648024 is 4208468288301.

1038828648024 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 82 + 86 + 480 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258863842 + ... + 258867854.

It is an arithmetic number, because the mean of its divisors is an integer number (11802364200).

Almost surely, 2^{1038828648024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038828648024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510702617600).

1038828648024 is an abundant number, since it is smaller than the sum of its proper divisors (1982576587176).

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

1038828648024 is a wasteful number, since it uses less digits than its factorization.

1038828648024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 1038828648024 in words is "one trillion, thirty-eight billion, eight hundred twenty-eight million, six hundred forty-eight thousand, twenty-four".