1142728704 has 288 divisors, whose sum is σ = 3756261600. Its totient is φ = 331776000.

The previous prime is 1142728703. The next prime is 1142728709. The reversal of 1142728704 is 4078272411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1142728703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552579 + ... + 4552829.

It is an arithmetic number, because the mean of its divisors is an integer number (13042575).

Almost surely, 2^1142728704 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 1142728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878130800).

1142728704 is an abundant number, since it is smaller than the sum of its proper divisors (2613532896).

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

1142728704 is a wasteful number, since it uses less digits than its factorization.

1142728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1142728704 is about 33804.2704994502. The cubic root of 1142728704 is about 1045.4767492618.

The spelling of 1142728704 in words is "one billion, one hundred forty-two million, seven hundred twenty-eight thousand, seven hundred four".