1828270080 has 624 divisors, whose sum is σ = 7871223360. Its totient is φ = 382205952.

The previous prime is 1828270027. The next prime is 1828270091. The reversal of 1828270080 is 800728281.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×1828270080³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16773066 + ... + 16773174.

It is an arithmetic number, because the mean of its divisors is an integer number (12614140).

Almost surely, 2^1828270080 is an apocalyptic number.

1828270080 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 1828270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935611680).

1828270080 is an abundant number, since it is smaller than the sum of its proper divisors (6042953280).

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

1828270080 is a wasteful number, since it uses less digits than its factorization.

1828270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1828270080 is about 42758.2749885914. The cubic root of 1828270080 is about 1222.7756564080.

The spelling of 1828270080 in words is "one billion, eight hundred twenty-eight million, two hundred seventy thousand, eighty".