1529728 has 64 divisors (see below), whose sum is σ = 3488400. Its totient is φ = 663552.

The previous prime is 1529701. The next prime is 1529741. The reversal of 1529728 is 8279251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1529693 and 1529702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41326 + ... + 41362.

2^1529728 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 1529728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744200).

1529728 is an abundant number, since it is smaller than the sum of its proper divisors (1958672).

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

1529728 is a wasteful number, since it uses less digits than its factorization.

1529728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 1529728 is about 1236.8217333149. The cubic root of 1529728 is about 115.2227064295. Note that the first 3 decimals are identical.

It can be divided in two parts, 152 and 9728, that multiplied together give a square (1478656 = 1216²).

The spelling of 1529728 in words is "one million, five hundred twenty-nine thousand, seven hundred twenty-eight".