1146438528 has 128 divisors (see below), whose sum is σ = 3166080000. Its totient is φ = 367165440.

The previous prime is 1146438493. The next prime is 1146438529. The reversal of 1146438528 is 8258346411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1146438528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146438529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297223 + ... + 2297721.

It is an arithmetic number, because the mean of its divisors is an integer number (24735000).

Almost surely, 2^1146438528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583040000).

1146438528 is an abundant number, since it is smaller than the sum of its proper divisors (2019641472).

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

1146438528 is a wasteful number, since it uses less digits than its factorization.

1146438528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 728 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1146438528 is about 33859.0981569208. The cubic root of 1146438528 is about 1046.6068935984.

The spelling of 1146438528 in words is "one billion, one hundred forty-six million, four hundred thirty-eight thousand, five hundred twenty-eight".