38133248 has 40 divisors (see below), whose sum is σ = 77338800. Its totient is φ = 18780160.

The previous prime is 38133233. The next prime is 38133253. The reversal of 38133248 is 84233183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35828 + ... + 36876.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^38133248 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 38133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669400).

38133248 is an abundant number, since it is smaller than the sum of its proper divisors (39205552).

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

38133248 is an equidigital number, since it uses as much as digits as its factorization.

38133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 38133248 is about 6175.2123850115. The cubic root of 38133248 is about 336.5900441035.

The spelling of 38133248 in words is "thirty-eight million, one hundred thirty-three thousand, two hundred forty-eight".