828628101 has 24 divisors (see below), whose sum is σ = 1371112704. Its totient is φ = 472387680.

The previous prime is 828628091. The next prime is 828628121. The reversal of 828628101 is 101826828.

828628101 is a `hidden beast` number, since 8 + 28 + 628 + 1 + 0 + 1 = 666.

828628101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828628101 - 2⁷ = 828627973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828628121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11895 + ... + 42411.

It is an arithmetic number, because the mean of its divisors is an integer number (57129696).

Almost surely, 2^828628101 is an apocalyptic number.

It is an amenable number.

828628101 is a deficient number, since it is larger than the sum of its proper divisors (542484603).

828628101 is a wasteful number, since it uses less digits than its factorization.

828628101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30961 (or 30958 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 828628101 is about 28785.9010802163. The cubic root of 828628101 is about 939.2615677180.

The spelling of 828628101 in words is "eight hundred twenty-eight million, six hundred twenty-eight thousand, one hundred one".