146478728 has 36 divisors (see below), whose sum is σ = 302663445. Its totient is φ = 66410080.

The previous prime is 146478721. The next prime is 146478757. The reversal of 146478728 is 827874641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 135443044 + 11035684 = 11638^2 + 3322^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8558.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146478721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 376358 + ... + 376746.

Almost surely, 2^146478728 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 146478728

146478728 is an abundant number, since it is smaller than the sum of its proper divisors (156184717).

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

146478728 is an equidigital number, since it uses as much as digits as its factorization.

146478728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 402 counting only the distinct ones).

The product of its digits is 602112, while the sum is 47.

The square root of 146478728 is about 12102.8396667889. The cubic root of 146478728 is about 527.1386418752.

It can be divided in two parts, 146 and 478728, that added together give a palindrome (478874).

The spelling of 146478728 in words is "one hundred forty-six million, four hundred seventy-eight thousand, seven hundred twenty-eight".