11302547328 has 128 divisors (see below), whose sum is σ = 35114112000. Its totient is φ = 3569204736.

The previous prime is 11302547273. The next prime is 11302547381. The reversal of 11302547328 is 82374520311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11302547328² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11302547292 and 11302547301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20400 + ... + 151727.

It is an arithmetic number, because the mean of its divisors is an integer number (274329000).

Almost surely, 2^11302547328 is an apocalyptic number.

11302547328 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 11302547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557056000).

11302547328 is an abundant number, since it is smaller than the sum of its proper divisors (23811564672).

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

11302547328 is a wasteful number, since it uses less digits than its factorization.

11302547328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172169 (or 172151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11302547328 in words is "eleven billion, three hundred two million, five hundred forty-seven thousand, three hundred twenty-eight".