1143589728 has 96 divisors (see below), whose sum is σ = 3195539424. Its totient is φ = 356851712.

The previous prime is 1143589723. The next prime is 1143589729. The reversal of 1143589728 is 8279853411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1143589728² = 2615594931974227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143589723) 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, 319726 + ... + 323282.

It is an arithmetic number, because the mean of its divisors is an integer number (33286869).

Almost surely, 2^1143589728 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 1143589728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597769712).

1143589728 is an abundant number, since it is smaller than the sum of its proper divisors (2051949696).

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

1143589728 is a wasteful number, since it uses less digits than its factorization.

1143589728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3776 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 1143589728 is about 33817.0035337255. The cubic root of 1143589728 is about 1045.7392655162.

The spelling of 1143589728 in words is "one billion, one hundred forty-three million, five hundred eighty-nine thousand, seven hundred twenty-eight".