39828180 has 288 divisors, whose sum is σ = 147087360. Its totient is φ = 7983360.

The previous prime is 39828167. The next prime is 39828193. The reversal of 39828180 is 8182893.

It is an interprime number because it is at equal distance from previous prime (39828167) and next prime (39828193).

It is a super-2 number, since 2×39828180² = 3172567844224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284765 + ... + 1284795.

It is an arithmetic number, because the mean of its divisors is an integer number (510720).

Almost surely, 2^39828180 is an apocalyptic number.

39828180 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 39828180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

39828180 is an abundant number, since it is smaller than the sum of its proper divisors (107259180).

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

39828180 is a wasteful number, since it uses less digits than its factorization.

39828180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 39828180 is about 6310.9571381843. The cubic root of 39828180 is about 341.5048064051.

The spelling of 39828180 in words is "thirty-nine million, eight hundred twenty-eight thousand, one hundred eighty".