828028007 has 8 divisors (see below), whose sum is σ = 843166800. Its totient is φ = 812926144.

The previous prime is 828027973. The next prime is 828028013. The reversal of 828028007 is 700820828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828028007 - 2¹⁴ = 828011623 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 (828028207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38219 + ... + 55827.

It is an arithmetic number, because the mean of its divisors is an integer number (105395850).

Almost surely, 2^828028007 is an apocalyptic number.

828028007 is a deficient number, since it is larger than the sum of its proper divisors (15138793).

828028007 is a wasteful number, since it uses less digits than its factorization.

828028007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18465.

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 828028007 is about 28775.4757910273. The cubic root of 828028007 is about 939.0347746409.

It can be divided in two parts, 82802 and 8007, that added together give a palindrome (90809).

The spelling of 828028007 in words is "eight hundred twenty-eight million, twenty-eight thousand, seven".