1398236337828 has 288 divisors, whose sum is σ = 4082846826240. Its totient is φ = 399551201280.

The previous prime is 1398236337821. The next prime is 1398236337853. The reversal of 1398236337828 is 8287336328931.

1398236337828 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 236 + 3 + 378 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (1398236337821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86340100 + ... + 86356292.

It is an arithmetic number, because the mean of its divisors is an integer number (14176551480).

Almost surely, 2^{1398236337828} is an apocalyptic number.

1398236337828 is a gapful number since it is divisible by the number (18) 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 1398236337828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041423413120).

1398236337828 is an abundant number, since it is smaller than the sum of its proper divisors (2684610488412).

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

1398236337828 is a wasteful number, since it uses less digits than its factorization.

1398236337828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16414 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 1398236337828 in words is "one trillion, three hundred ninety-eight billion, two hundred thirty-six million, three hundred thirty-seven thousand, eight hundred twenty-eight".