1820428128 has 96 divisors (see below), whose sum is σ = 5480939520. Its totient is φ = 587226240.

The previous prime is 1820428109. The next prime is 1820428151. The reversal of 1820428128 is 8218240281.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1820428092 and 1820428101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7200 + ... + 60767.

It is an arithmetic number, because the mean of its divisors is an integer number (57093120).

Almost surely, 2^1820428128 is an apocalyptic number.

1820428128 is a gapful number since it is divisible by the number (18) 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 1820428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740469760).

1820428128 is an abundant number, since it is smaller than the sum of its proper divisors (3660511392).

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

1820428128 is a wasteful number, since it uses less digits than its factorization.

1820428128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68017 (or 68003 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1820428128 is about 42666.4754579049. The cubic root of 1820428128 is about 1221.0248773976.

The spelling of 1820428128 in words is "one billion, eight hundred twenty million, four hundred twenty-eight thousand, one hundred twenty-eight".