87828007 has 16 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 81380992.

The previous prime is 87827989. The next prime is 87828011. The reversal of 87828007 is 70082878.

It is not a de Polignac number, because 87828007 - 2⁷ = 87827879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87828017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121794 + ... + 122512.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2^87828007 is an apocalyptic number.

87828007 is a deficient number, since it is larger than the sum of its proper divisors (6728153).

87828007 is a wasteful number, since it uses less digits than its factorization.

87828007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902.

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 87828007 is about 9371.6597782890. The cubic root of 87828007 is about 444.5060495692.

The spelling of 87828007 in words is "eighty-seven million, eight hundred twenty-eight thousand, seven".