11406872928 has 192 divisors, whose sum is σ = 33512693760. Its totient is φ = 3367641600.

The previous prime is 11406872921. The next prime is 11406872941. The reversal of 11406872928 is 82927860411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406872921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15435183 + ... + 15435921.

It is an arithmetic number, because the mean of its divisors is an integer number (174545280).

Almost surely, 2^11406872928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756346880).

11406872928 is an abundant number, since it is smaller than the sum of its proper divisors (22105820832).

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

11406872928 is a wasteful number, since it uses less digits than its factorization.

11406872928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11406872928 in words is "eleven billion, four hundred six million, eight hundred seventy-two thousand, nine hundred twenty-eight".