1938528 has 72 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 628992.

The previous prime is 1938499. The next prime is 1938533. The reversal of 1938528 is 8258391.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1938492 and 1938501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15201 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2^1938528 is an apocalyptic number.

1938528 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 1938528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

1938528 is an abundant number, since it is smaller than the sum of its proper divisors (3722400).

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

1938528 is a wasteful number, since it uses less digits than its factorization.

1938528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1938528 is about 1392.3103102398. The cubic root of 1938528 is about 124.6878183232.

The spelling of 1938528 in words is "one million, nine hundred thirty-eight thousand, five hundred twenty-eight".