39128200 has 48 divisors (see below), whose sum is σ = 93922560. Its totient is φ = 15144000.

The previous prime is 39128197. The next prime is 39128207. The reversal of 39128200 is 282193.

It is a super-3 number, since 3×39128200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (39128207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3045 + ... + 9355.

It is an arithmetic number, because the mean of its divisors is an integer number (1956720).

Almost surely, 2^39128200 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 39128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46961280).

39128200 is an abundant number, since it is smaller than the sum of its proper divisors (54794360).

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

39128200 is a wasteful number, since it uses less digits than its factorization.

39128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 39128200 is about 6255.2537918137. The cubic root of 39128200 is about 339.4923219120.

The spelling of 39128200 in words is "thirty-nine million, one hundred twenty-eight thousand, two hundred".