39221928 has 96 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 12361248.

The previous prime is 39221927. The next prime is 39221933. The reversal of 39221928 is 82912293.

39221928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 39221892 and 39221901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39221927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77725 + ... + 78227.

It is an arithmetic number, because the mean of its divisors is an integer number (1200150).

Almost surely, 2^39221928 is an apocalyptic number.

39221928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39221928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

39221928 is an abundant number, since it is smaller than the sum of its proper divisors (75992472).

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

39221928 is a wasteful number, since it uses less digits than its factorization.

39221928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 527 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 39221928 is about 6262.7412528381. The cubic root of 39221928 is about 339.7631799535.

The spelling of 39221928 in words is "thirty-nine million, two hundred twenty-one thousand, nine hundred twenty-eight".