1461385728 has 180 divisors, whose sum is σ = 4637707074. Its totient is φ = 442675200.

The previous prime is 1461385699. The next prime is 1461385769. The reversal of 1461385728 is 8275831641.

1461385728 is a `hidden beast` number, since 1 + 4 + 613 + 8 + 5 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1037355264 + 424030464 = 32208^2 + 20592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556258 + ... + 558878.

Almost surely, 2^1461385728 is an apocalyptic number.

1461385728 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 1461385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318853537).

1461385728 is an abundant number, since it is smaller than the sum of its proper divisors (3176321346).

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

1461385728 is a wasteful number, since it uses less digits than its factorization.

1461385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2637 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1461385728 is about 38228.0751281045. The cubic root of 1461385728 is about 1134.8059927024.

The spelling of 1461385728 in words is "one billion, four hundred sixty-one million, three hundred eighty-five thousand, seven hundred twenty-eight".