38590728 has 64 divisors (see below), whose sum is σ = 106168320. Its totient is φ = 11592000.

The previous prime is 38590723. The next prime is 38590733. The reversal of 38590728 is 82709583.

It is an interprime number because it is at equal distance from previous prime (38590723) and next prime (38590733).

It is a self number, because there is not a number n which added to its sum of digits gives 38590728.

It is not an unprimeable number, because it can be changed into a prime (38590723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32953 + ... + 34103.

It is an arithmetic number, because the mean of its divisors is an integer number (1658880).

Almost surely, 2^38590728 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 38590728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53084160).

38590728 is an abundant number, since it is smaller than the sum of its proper divisors (67577592).

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

38590728 is a wasteful number, since it uses less digits than its factorization.

38590728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 38590728 is about 6212.1435913861. The cubic root of 38590728 is about 337.9307071753.

The spelling of 38590728 in words is "thirty-eight million, five hundred ninety thousand, seven hundred twenty-eight".