41538528 has 96 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 13703040.

The previous prime is 41538509. The next prime is 41538547. The reversal of 41538528 is 82583514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41538509) and next prime (41538547).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 41538492 and 41538501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113001 + ... + 113367.

It is an arithmetic number, because the mean of its divisors is an integer number (1275120).

Almost surely, 2^41538528 is an apocalyptic number.

41538528 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 41538528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

41538528 is an abundant number, since it is smaller than the sum of its proper divisors (80872992).

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

41538528 is a wasteful number, since it uses less digits than its factorization.

41538528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 41538528 is about 6445.0390223799. The cubic root of 41538528 is about 346.3248866857.

The spelling of 41538528 in words is "forty-one million, five hundred thirty-eight thousand, five hundred twenty-eight".