11228032368 has 480 divisors, whose sum is σ = 39430809600. Its totient is φ = 2911334400.

The previous prime is 11228032357. The next prime is 11228032379. The reversal of 11228032368 is 86323082211.

11228032368 is a `hidden beast` number, since 1 + 12 + 280 + 3 + 2 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (11228032357) and next prime (11228032379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62033238 + ... + 62033418.

It is an arithmetic number, because the mean of its divisors is an integer number (82147520).

Almost surely, 2^11228032368 is an apocalyptic number.

11228032368 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 11228032368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715404800).

11228032368 is an abundant number, since it is smaller than the sum of its proper divisors (28202777232).

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

11228032368 is a wasteful number, since it uses less digits than its factorization.

11228032368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11228032368 in words is "eleven billion, two hundred twenty-eight million, thirty-two thousand, three hundred sixty-eight".