11253617928 has 192 divisors, whose sum is σ = 37945584000. Its totient is φ = 3075456384.

The previous prime is 11253617927. The next prime is 11253617941. The reversal of 11253617928 is 82971635211.

11253617928 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 617 + 9 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (11253617927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220318 + ... + 266546.

It is an arithmetic number, because the mean of its divisors is an integer number (197633250).

Almost surely, 2^11253617928 is an apocalyptic number.

11253617928 is a gapful number since it is divisible by the number (18) 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 11253617928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972792000).

11253617928 is an abundant number, since it is smaller than the sum of its proper divisors (26691966072).

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

11253617928 is a wasteful number, since it uses less digits than its factorization.

11253617928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46281 (or 46264 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11253617928 in words is "eleven billion, two hundred fifty-three million, six hundred seventeen thousand, nine hundred twenty-eight".