1819372128 has 192 divisors, whose sum is σ = 5805499392. Its totient is φ = 487618560.

The previous prime is 1819372109. The next prime is 1819372169. The reversal of 1819372128 is 8212739181.

It is a super-2 number, since 2×1819372128² = 6620229880286496768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1819372128.

It is a congruent number.

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, 818058 + ... + 820278.

It is an arithmetic number, because the mean of its divisors is an integer number (30236976).

Almost surely, 2^1819372128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902749696).

1819372128 is an abundant number, since it is smaller than the sum of its proper divisors (3986127264).

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

1819372128 is a wasteful number, since it uses less digits than its factorization.

1819372128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2309 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 1819372128 is about 42654.0986072851. The cubic root of 1819372128 is about 1220.7887330073.

The spelling of 1819372128 in words is "one billion, eight hundred nineteen million, three hundred seventy-two thousand, one hundred twenty-eight".