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1128383973120 = 28354161293401
BaseRepresentation
bin10000011010111000111…
…011010000011100000000
310222212120000111222222110
4100122320323100130000
5121441412244114440
62222212240335320
7144344256342525
oct20327073203400
93885500458873
101128383973120
113a55aa377118
12162831614540
1382538415741
143c88504914c
151e5427b2080
hex106b8ed0700

1128383973120 has 576 divisors, whose sum is σ = 3774387673728. Its totient is φ = 287047680000.

The previous prime is 1128383973109. The next prime is 1128383973179. The reversal of 1128383973120 is 213793838211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1128383973120.

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, 2813924920 + ... + 2813925320.

It is an arithmetic number, because the mean of its divisors is an integer number (6552756378).

Almost surely, 21128383973120 is an apocalyptic number.

1128383973120 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 1128383973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887193836864).

1128383973120 is an abundant number, since it is smaller than the sum of its proper divisors (2646003700608).

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

1128383973120 is a wasteful number, since it uses less digits than its factorization.

1128383973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 1128383973120 in words is "one trillion, one hundred twenty-eight billion, three hundred eighty-three million, nine hundred seventy-three thousand, one hundred twenty".