38282728 has 64 divisors (see below), whose sum is σ = 81861120. Its totient is φ = 16632000.

The previous prime is 38282711. The next prime is 38282743. The reversal of 38282728 is 82728283.

It is a happy 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, 253453 + ... + 253603.

It is an arithmetic number, because the mean of its divisors is an integer number (1279080).

Almost surely, 2^38282728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38282728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40930560).

38282728 is an abundant number, since it is smaller than the sum of its proper divisors (43578392).

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

38282728 is a wasteful number, since it uses less digits than its factorization.

38282728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 38282728 is about 6187.3037746663. The cubic root of 38282728 is about 337.0292748125.

It can be divided in two parts, 3828 and 2728, that added together give a palindrome (6556).

The spelling of 38282728 in words is "thirty-eight million, two hundred eighty-two thousand, seven hundred twenty-eight".