39828360 has 192 divisors, whose sum is σ = 142107840. Its totient is φ = 8870400.

The previous prime is 39828337. The next prime is 39828361. The reversal of 39828360 is 6382893.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39828361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188655 + ... + 188865.

It is an arithmetic number, because the mean of its divisors is an integer number (740145).

Almost surely, 2^39828360 is an apocalyptic number.

39828360 is a gapful number since it is divisible by the number (30) 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 39828360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71053920).

39828360 is an abundant number, since it is smaller than the sum of its proper divisors (102279480).

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

39828360 is a wasteful number, since it uses less digits than its factorization.

39828360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 39828360 is about 6310.9713990795. The cubic root of 39828360 is about 341.5053208714.

The spelling of 39828360 in words is "thirty-nine million, eight hundred twenty-eight thousand, three hundred sixty".