1128398933760 has 576 divisors, whose sum is σ = 4309983240192. Its totient is φ = 246202564608.

The previous prime is 1128398933743. The next prime is 1128398933801. The reversal of 1128398933760 is 673398938211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1128398933694 and 1128398933703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52700977 + ... + 52722383.

It is an arithmetic number, because the mean of its divisors is an integer number (7482609792).

Almost surely, 2^{1128398933760} is an apocalyptic number.

1128398933760 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 1128398933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154991620096).

1128398933760 is an abundant number, since it is smaller than the sum of its proper divisors (3181584306432).

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

1128398933760 is a wasteful number, since it uses less digits than its factorization.

1128398933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 1128398933760 in words is "one trillion, one hundred twenty-eight billion, three hundred ninety-eight million, nine hundred thirty-three thousand, seven hundred sixty".