207828120 has 64 divisors (see below), whose sum is σ = 629244000. Its totient is φ = 54908928.

The previous prime is 207828119. The next prime is 207828121. The reversal of 207828120 is 21828702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (207828119) and next prime (207828121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207828121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5136 + ... + 21024.

Almost surely, 2^207828120 is an apocalyptic number.

207828120 is a gapful number since it is divisible by the number (20) 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 207828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314622000).

207828120 is an abundant number, since it is smaller than the sum of its proper divisors (421415880).

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

207828120 is a wasteful number, since it uses less digits than its factorization.

207828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16012 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 207828120 is about 14416.2450034674. The cubic root of 207828120 is about 592.3359655579.

The spelling of 207828120 in words is "two hundred seven million, eight hundred twenty-eight thousand, one hundred twenty".