1828827720 has 224 divisors, whose sum is σ = 6279940800. Its totient is φ = 478970496.

The previous prime is 1828827713. The next prime is 1828827739. The reversal of 1828827720 is 277288281.

It is a super-2 number, since 2×1828827720² = 6689221658880796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1719909 + ... + 1720971.

It is an arithmetic number, because the mean of its divisors is an integer number (28035450).

Almost surely, 2^1828827720 is an apocalyptic number.

1828827720 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 1828827720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139970400).

1828827720 is an abundant number, since it is smaller than the sum of its proper divisors (4451113080).

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

1828827720 is a wasteful number, since it uses less digits than its factorization.

1828827720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 1828827720 is about 42764.7953344804. The cubic root of 1828827720 is about 1222.8999632251.

The spelling of 1828827720 in words is "one billion, eight hundred twenty-eight million, eight hundred twenty-seven thousand, seven hundred twenty".