2007828088 has 64 divisors (see below), whose sum is σ = 4561459200. Its totient is φ = 810207360.

The previous prime is 2007828083. The next prime is 2007828091. The reversal of 2007828088 is 8808287002.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007828083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48603 + ... + 79861.

It is an arithmetic number, because the mean of its divisors is an integer number (71272800).

Almost surely, 2^2007828088 is an apocalyptic number.

2007828088 is a gapful number since it is divisible by the number (28) 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 2007828088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280729600).

2007828088 is an abundant number, since it is smaller than the sum of its proper divisors (2553631112).

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

2007828088 is a wasteful number, since it uses less digits than its factorization.

2007828088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31340 (or 31336 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 43.

The square root of 2007828088 is about 44808.7947617429. The cubic root of 2007828088 is about 1261.5627053922.

The spelling of 2007828088 in words is "two billion, seven million, eight hundred twenty-eight thousand, eighty-eight".