1460368728 has 192 divisors, whose sum is σ = 5124537600. Its totient is φ = 364849920.

The previous prime is 1460368727. The next prime is 1460368733. The reversal of 1460368728 is 8278630641.

1460368728 is a `hidden beast` number, since 14 + 603 + 6 + 8 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460368727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118623 + ... + 130353.

It is an arithmetic number, because the mean of its divisors is an integer number (26690300).

Almost surely, 2^1460368728 is an apocalyptic number.

1460368728 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 1460368728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562268800).

1460368728 is an abundant number, since it is smaller than the sum of its proper divisors (3664168872).

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

1460368728 is a wasteful number, since it uses less digits than its factorization.

1460368728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11782 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1460368728 is about 38214.7710708830. The cubic root of 1460368728 is about 1134.5426888409.

The spelling of 1460368728 in words is "one billion, four hundred sixty million, three hundred sixty-eight thousand, seven hundred twenty-eight".