38928312 has 96 divisors (see below), whose sum is σ = 110522880. Its totient is φ = 12363840.

The previous prime is 38928301. The next prime is 38928313. The reversal of 38928312 is 21382983.

38928312 = T₄₉₃ + T₄₉₄ + ... + T₇₀₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38928313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238743 + ... + 238905.

It is an arithmetic number, because the mean of its divisors is an integer number (1151280).

Almost surely, 2^38928312 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 38928312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55261440).

38928312 is an abundant number, since it is smaller than the sum of its proper divisors (71594568).

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

38928312 is a wasteful number, since it uses less digits than its factorization.

38928312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38928312 is about 6239.2557248441. The cubic root of 38928312 is about 338.9132312454.

The spelling of 38928312 in words is "thirty-eight million, nine hundred twenty-eight thousand, three hundred twelve".