1828807680 has 352 divisors, whose sum is σ = 6805603584. Its totient is φ = 410517504.

The previous prime is 1828807661. The next prime is 1828807693. The reversal of 1828807680 is 867088281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7848844 + ... + 7849076.

Almost surely, 2^1828807680 is an apocalyptic number.

1828807680 is a gapful number since it is divisible by the number (10) 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 1828807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402801792).

1828807680 is an abundant number, since it is smaller than the sum of its proper divisors (4976795904).

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

1828807680 is a wasteful number, since it uses less digits than its factorization.

1828807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 1828807680 is about 42764.5610289642. The cubic root of 1828807680 is about 1222.8954964284.

The spelling of 1828807680 in words is "one billion, eight hundred twenty-eight million, eight hundred seven thousand, six hundred eighty".