1141987728 has 120 divisors (see below), whose sum is σ = 3442285632. Its totient is φ = 325285632.

The previous prime is 1141987673. The next prime is 1141987729. The reversal of 1141987728 is 8277891411.

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

It is not an unprimeable number, because it can be changed into a prime (1141987729) 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, 1144926 + ... + 1145922.

Almost surely, 2^1141987728 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 1141987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721142816).

1141987728 is an abundant number, since it is smaller than the sum of its proper divisors (2300297904).

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

1141987728 is a wasteful number, since it uses less digits than its factorization.

1141987728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1496 counting only the distinct ones).

The product of its digits is 225792, while the sum is 48.

The square root of 1141987728 is about 33793.3089235132. The cubic root of 1141987728 is about 1045.2507286625.

The spelling of 1141987728 in words is "one billion, one hundred forty-one million, nine hundred eighty-seven thousand, seven hundred twenty-eight".