11428892832 has 384 divisors, whose sum is σ = 37066014720. Its totient is φ = 3013401600.

The previous prime is 11428892831. The next prime is 11428892833. The reversal of 11428892832 is 23829882411.

It is an interprime number because it is at equal distance from previous prime (11428892831) and next prime (11428892833).

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

It is not an unprimeable number, because it can be changed into a prime (11428892831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75687957 + ... + 75688107.

It is an arithmetic number, because the mean of its divisors is an integer number (96526080).

Almost surely, 2^11428892832 is an apocalyptic number.

11428892832 is a gapful number since it is divisible by the number (12) 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 11428892832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

11428892832 is an abundant number, since it is smaller than the sum of its proper divisors (25637121888).

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

11428892832 is a wasteful number, since it uses less digits than its factorization.

11428892832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 11428892832 in words is "eleven billion, four hundred twenty-eight million, eight hundred ninety-two thousand, eight hundred thirty-two".