2007329628 has 48 divisors (see below), whose sum is σ = 4720584960. Its totient is φ = 663868800.

The previous prime is 2007329603. The next prime is 2007329629. The reversal of 2007329628 is 8269237002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007329629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354648 + ... + 1356128.

It is an arithmetic number, because the mean of its divisors is an integer number (98345520).

Almost surely, 2^2007329628 is an apocalyptic number.

It is an amenable number.

2007329628 is an abundant number, since it is smaller than the sum of its proper divisors (2713255332).

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

2007329628 is a wasteful number, since it uses less digits than its factorization.

2007329628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2007329628 is about 44803.2323387498. The cubic root of 2007329628 is about 1261.4582989450.

The spelling of 2007329628 in words is "two billion, seven million, three hundred twenty-nine thousand, six hundred twenty-eight".