1319089728 has 84 divisors (see below), whose sum is σ = 3836283920. Its totient is φ = 399717120.

The previous prime is 1319089703. The next prime is 1319089729. The reversal of 1319089728 is 8279809131.

1319089728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1319089728³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1319089729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5158 + ... + 51621.

Almost surely, 2^1319089728 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 1319089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918141960).

1319089728 is an abundant number, since it is smaller than the sum of its proper divisors (2517194192).

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

1319089728 is a wasteful number, since it uses less digits than its factorization.

1319089728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56816 (or 56795 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 1319089728 is about 36319.2748826295. The cubic root of 1319089728 is about 1096.7090976624.

The spelling of 1319089728 in words is "one billion, three hundred nineteen million, eighty-nine thousand, seven hundred twenty-eight".