1513728 has 90 divisors (see below), whose sum is σ = 4575494. Its totient is φ = 497664.

The previous prime is 1513727. The next prime is 1513739. The reversal of 1513728 is 8273151.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 186624 = 1152^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1513727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20700 + ... + 20772.

2^1513728 is an apocalyptic number.

1513728 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 1513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287747).

1513728 is an abundant number, since it is smaller than the sum of its proper divisors (3061766).

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

1513728 is an frugal number, since it uses more digits than its factorization.

1513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1513728 is about 1230.3365393257. The cubic root of 1513728 is about 114.8195784614.

Adding to 1513728 its reverse (8273151), we get a palindrome (9786879).

The spelling of 1513728 in words is "one million, five hundred thirteen thousand, seven hundred twenty-eight".