1135225728 has 576 divisors, whose sum is σ = 4367844000. Its totient is φ = 281788416.

The previous prime is 1135225681. The next prime is 1135225747. The reversal of 1135225728 is 8275225311.

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

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

Its product of digits (33600) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 1135225692 and 1135225701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66777976 + ... + 66777992.

Almost surely, 2^1135225728 is an apocalyptic number.

1135225728 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 1135225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183922000).

1135225728 is an abundant number, since it is smaller than the sum of its proper divisors (3232618272).

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

1135225728 is a wasteful number, since it uses less digits than its factorization.

1135225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1135225728 is about 33693.1109872627. The cubic root of 1135225728 is about 1043.1835780345.

The spelling of 1135225728 in words is "one billion, one hundred thirty-five million, two hundred twenty-five thousand, seven hundred twenty-eight".