1128339936 has 192 divisors, whose sum is σ = 3399782400. Its totient is φ = 363916800.

The previous prime is 1128339923. The next prime is 1128339941. The reversal of 1128339936 is 6399338211.

It is a super-2 number, since 2×1128339936² = 2546302022344968192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1128339891 and 1128339900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4163481 + ... + 4163751.

It is an arithmetic number, because the mean of its divisors is an integer number (17707200).

Almost surely, 2^1128339936 is an apocalyptic number.

1128339936 is a gapful number since it is divisible by the number (16) 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 1128339936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699891200).

1128339936 is an abundant number, since it is smaller than the sum of its proper divisors (2271442464).

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

1128339936 is a wasteful number, since it uses less digits than its factorization.

1128339936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1128339936 is about 33590.7715898281. The cubic root of 1128339936 is about 1041.0701312285.

The spelling of 1128339936 in words is "one billion, one hundred twenty-eight million, three hundred thirty-nine thousand, nine hundred thirty-six".