1141590528 has 480 divisors, whose sum is σ = 4021617600. Its totient is φ = 307888128.

The previous prime is 1141590521. The next prime is 1141590529. The reversal of 1141590528 is 8250951411.

1141590528 is a `hidden beast` number, since 1 + 1 + 41 + 5 + 90 + 528 = 666.

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 = 1141590492 and 1141590501.

It is not an unprimeable number, because it can be changed into a prime (1141590521) 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, 19348963 + ... + 19349021.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^1141590528 is an apocalyptic number.

1141590528 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 1141590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010808800).

1141590528 is an abundant number, since it is smaller than the sum of its proper divisors (2880027072).

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

1141590528 is a wasteful number, since it uses less digits than its factorization.

1141590528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1141590528 is about 33787.4315093645. The cubic root of 1141590528 is about 1045.1295301233.

The spelling of 1141590528 in words is "one billion, one hundred forty-one million, five hundred ninety thousand, five hundred twenty-eight".