1528632 has 80 divisors (see below), whose sum is σ = 4907760. Its totient is φ = 435456.

The previous prime is 1528627. The next prime is 1528633. The reversal of 1528632 is 2368251.

1528632 is a `hidden beast` number, since 1 + 5 + 28 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1528596 and 1528605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528633) 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 19 ways as a sum of consecutive naturals, for example, 4368 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (61347).

2^1528632 is an apocalyptic number.

1528632 is a gapful number since it is divisible by the number (12) 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 1528632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453880).

1528632 is an abundant number, since it is smaller than the sum of its proper divisors (3379128).

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

1528632 is a wasteful number, since it uses less digits than its factorization.

1528632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1528632 is about 1236.3785827974. The cubic root of 1528632 is about 115.1951820902.

1528632 divided by its sum of digits (27) gives a triangular number (56616 = T₃₃₆).

The spelling of 1528632 in words is "one million, five hundred twenty-eight thousand, six hundred thirty-two".