4038528 has 64 divisors (see below), whose sum is σ = 11566800. Its totient is φ = 1241088.

The previous prime is 4038521. The next prime is 4038533. The reversal of 4038528 is 8258304.

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

It is a junction number, because it is equal to n+sod(n) for n = 4038495 and 4038504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4588 + ... + 5396.

Almost surely, 2^4038528 is an apocalyptic number.

4038528 is a gapful number since it is divisible by the number (48) 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 4038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783400).

4038528 is an abundant number, since it is smaller than the sum of its proper divisors (7528272).

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

4038528 is a wasteful number, since it uses less digits than its factorization.

4038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4038528 is about 2009.6089171777. The cubic root of 4038528 is about 159.2481391083.

The spelling of 4038528 in words is "four million, thirty-eight thousand, five hundred twenty-eight".