1038837828000 has 864 divisors, whose sum is σ = 4061636115264. Its totient is φ = 231436800000.

The previous prime is 1038837827981. The next prime is 1038837828029. The reversal of 1038837828000 is 8287388301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 988427475 + ... + 988428525.

It is an arithmetic number, because the mean of its divisors is an integer number (4700967726).

Almost surely, 2^{1038837828000} is an apocalyptic number.

1038837828000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038837828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030818057632).

1038837828000 is an abundant number, since it is smaller than the sum of its proper divisors (3022798287264).

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

1038837828000 is a wasteful number, since it uses less digits than its factorization.

1038837828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 1038837828000 in words is "one trillion, thirty-eight billion, eight hundred thirty-seven million, eight hundred twenty-eight thousand".