1238857728000 has 960 divisors, whose sum is σ = 4526879011200. Its totient is φ = 299473305600.

The previous prime is 1238857727993. The next prime is 1238857728019. The reversal of 1238857728000 is 8277588321.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 3028991796 + ... + 3028992204.

It is an arithmetic number, because the mean of its divisors is an integer number (4715498970).

Almost surely, 2^{1238857728000} is an apocalyptic number.

1238857728000 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 1238857728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263439505600).

1238857728000 is an abundant number, since it is smaller than the sum of its proper divisors (3288021283200).

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

1238857728000 is an equidigital number, since it uses as much as digits as its factorization.

1238857728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 1238857728000 in words is "one trillion, two hundred thirty-eight billion, eight hundred fifty-seven million, seven hundred twenty-eight thousand".