11428053120 has 576 divisors, whose sum is σ = 45711993600. Its totient is φ = 2621583360.

The previous prime is 11428053097. The next prime is 11428053127. The reversal of 11428053120 is 2135082411.

11428053120 is a `hidden beast` number, since 11 + 42 + 80 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11428053120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11428053127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13241809 + ... + 13242671.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 2^11428053120 is an apocalyptic number.

11428053120 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 11428053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

11428053120 is an abundant number, since it is smaller than the sum of its proper divisors (34283940480).

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

11428053120 is a wasteful number, since it uses less digits than its factorization.

11428053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11428053120 in words is "eleven billion, four hundred twenty-eight million, fifty-three thousand, one hundred twenty".