1142065728 has 168 divisors, whose sum is σ = 3358807608. Its totient is φ = 370925568.

The previous prime is 1142065723. The next prime is 1142065741. The reversal of 1142065728 is 8275602411.

It can be written as a sum of positive squares in 4 ways, for example, as 322274304 + 819791424 = 17952^2 + 28632^2 .

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 = 1142065692 and 1142065701.

It is not an unprimeable number, because it can be changed into a prime (1142065723) 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, 6601450 + ... + 6601622.

Almost surely, 2^1142065728 is an apocalyptic number.

1142065728 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 1142065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679403804).

1142065728 is an abundant number, since it is smaller than the sum of its proper divisors (2216741880).

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

1142065728 is a wasteful number, since it uses less digits than its factorization.

1142065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1142065728 is about 33794.4629784230. The cubic root of 1142065728 is about 1045.2745256785.

The spelling of 1142065728 in words is "one billion, one hundred forty-two million, sixty-five thousand, seven hundred twenty-eight".