1828855314 has 192 divisors, whose sum is σ = 4935530880. Its totient is φ = 494864640.

The previous prime is 1828855309. The next prime is 1828855337. The reversal of 1828855314 is 4135588281.

1828855314 is a `hidden beast` number, since 1 + 8 + 2 + 88 + 553 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1828855314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10571332 + ... + 10571504.

It is an arithmetic number, because the mean of its divisors is an integer number (25705890).

Almost surely, 2^1828855314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828855314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467765440).

1828855314 is an abundant number, since it is smaller than the sum of its proper divisors (3106675566).

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

1828855314 is a wasteful number, since it uses less digits than its factorization.

1828855314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 239 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 1828855314 is about 42765.1179584483. The cubic root of 1828855314 is about 1222.9061137100.

The spelling of 1828855314 in words is "one billion, eight hundred twenty-eight million, eight hundred fifty-five thousand, three hundred fourteen".