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828808828 = 221012051507
BaseRepresentation
bin110001011001101…
…001111001111100
32010202112211222021
4301121221321330
53144133340303
6214124125524
726352521161
oct6131517174
92122484867
10828808828
11395928381
121b16968a4
1310292b933
147c108068
154cb67ebd
hex31669e7c

828808828 has 12 divisors (see below), whose sum is σ = 1464776712. Its totient is φ = 410301200.

The previous prime is 828808819. The next prime is 828808831.

It is a happy number.

828808828 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1025350 + ... + 1026157.

It is an arithmetic number, because the mean of its divisors is an integer number (122064726).

Almost surely, 2828808828 is an apocalyptic number.

It is an amenable number.

828808828 is a deficient number, since it is larger than the sum of its proper divisors (635967884).

828808828 is a wasteful number, since it uses less digits than its factorization.

828808828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051612 (or 2051610 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 52.

The square root of 828808828 is about 28789.0400673590. The cubic root of 828808828 is about 939.3298482834.

The spelling of 828808828 in words is "eight hundred twenty-eight million, eight hundred eight thousand, eight hundred twenty-eight".

Divisors: 1 2 4 101 202 404 2051507 4103014 8206028 207202207 414404414 828808828