1495081728 has 648 divisors, whose sum is σ = 5725203120. Its totient is φ = 371589120.

The previous prime is 1495081657. The next prime is 1495081729. The reversal of 1495081728 is 8271805941.

It is not an unprimeable number, because it can be changed into a prime (1495081729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36465388 + ... + 36465428.

It is an arithmetic number, because the mean of its divisors is an integer number (8835190).

Almost surely, 2^1495081728 is an apocalyptic number.

1495081728 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 1495081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862601560).

1495081728 is an abundant number, since it is smaller than the sum of its proper divisors (4230121392).

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

1495081728 is a wasteful number, since it uses less digits than its factorization.

1495081728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1495081728 is about 38666.2867107769. The cubic root of 1495081728 is about 1143.4617579838.

The spelling of 1495081728 in words is "one billion, four hundred ninety-five million, eighty-one thousand, seven hundred twenty-eight".