1528120 has 64 divisors (see below), whose sum is σ = 3939840. Its totient is φ = 528000.

The previous prime is 1528103. The next prime is 1528127. The reversal of 1528120 is 218251.

1528120 = 54³ + 55³ + ... + 61³.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10045 + ... + 10195.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2^1528120 is an apocalyptic number.

1528120 is a gapful number since it is divisible by the number (10) 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 1528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969920).

1528120 is an abundant number, since it is smaller than the sum of its proper divisors (2411720).

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

1528120 is a wasteful number, since it uses less digits than its factorization.

1528120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1528120 is about 1236.1715091362. The cubic root of 1528120 is about 115.1823194960.

The spelling of 1528120 in words is "one million, five hundred twenty-eight thousand, one hundred twenty".