1496795328 has 448 divisors, whose sum is σ = 5530291200. Its totient is φ = 387072000.

The previous prime is 1496795317. The next prime is 1496795341. The reversal of 1496795328 is 8235976941.

1496795328 is a `hidden beast` number, since 1 + 49 + 67 + 9 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5963203 + ... + 5963453.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^1496795328 is an apocalyptic number.

1496795328 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 1496795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

1496795328 is an abundant number, since it is smaller than the sum of its proper divisors (4033495872).

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

1496795328 is a wasteful number, since it uses less digits than its factorization.

1496795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1496795328 is about 38688.4392034623. The cubic root of 1496795328 is about 1143.8984538291.

The spelling of 1496795328 in words is "one billion, four hundred ninety-six million, seven hundred ninety-five thousand, three hundred twenty-eight".