38653728 has 48 divisors (see below), whose sum is σ = 102241440. Its totient is φ = 12786176.

The previous prime is 38653717. The next prime is 38653739. The reversal of 38653728 is 82735683.

It is an interprime number because it is at equal distance from previous prime (38653717) and next prime (38653739).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×38653728² = 2988221376595968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38653728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11683 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (2130030).

Almost surely, 2^38653728 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 38653728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120720).

38653728 is an abundant number, since it is smaller than the sum of its proper divisors (63587712).

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

38653728 is a wasteful number, since it uses less digits than its factorization.

38653728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3081 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 38653728 is about 6217.2122370078. The cubic root of 38653728 is about 338.1144996813.

The spelling of 38653728 in words is "thirty-eight million, six hundred fifty-three thousand, seven hundred twenty-eight".