208140828 has 72 divisors (see below), whose sum is σ = 566899200. Its totient is φ = 59264352.

The previous prime is 208140817. The next prime is 208140833. The reversal of 208140828 is 828041802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281283 + ... + 282021.

It is an arithmetic number, because the mean of its divisors is an integer number (7873600).

Almost surely, 2^208140828 is an apocalyptic number.

208140828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208140828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283449600).

208140828 is an abundant number, since it is smaller than the sum of its proper divisors (358758372).

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

208140828 is a wasteful number, since it uses less digits than its factorization.

208140828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 208140828 is about 14427.0866081825. The cubic root of 208140828 is about 592.6329022312.

The spelling of 208140828 in words is "two hundred eight million, one hundred forty thousand, eight hundred twenty-eight".