28038528 has 256 divisors, whose sum is σ = 101184000. Its totient is φ = 7464960.

The previous prime is 28038499. The next prime is 28038533. The reversal of 28038528 is 82583082.

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 = 28038492 and 28038501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459618 + ... + 459678.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^28038528 is an apocalyptic number.

28038528 is a gapful number since it is divisible by the number (28) 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 28038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592000).

28038528 is an abundant number, since it is smaller than the sum of its proper divisors (73145472).

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

28038528 is a wasteful number, since it uses less digits than its factorization.

28038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 28038528 is about 5295.1419244436. The cubic root of 28038528 is about 303.7981115683.

The spelling of 28038528 in words is "twenty-eight million, thirty-eight thousand, five hundred twenty-eight".