1842402528 has 72 divisors (see below), whose sum is σ = 5298274800. Its totient is φ = 607225344.

The previous prime is 1842402521. The next prime is 1842402533. The reversal of 1842402528 is 8252042481.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1842402492 and 1842402501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842402521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10308 + ... + 61571.

It is an arithmetic number, because the mean of its divisors is an integer number (73587150).

Almost surely, 2^1842402528 is an apocalyptic number.

1842402528 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 1842402528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649137400).

1842402528 is an abundant number, since it is smaller than the sum of its proper divisors (3455872272).

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

1842402528 is a wasteful number, since it uses less digits than its factorization.

1842402528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71984 (or 71973 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1842402528 is about 42923.2166548594. The cubic root of 1842402528 is about 1225.9182404204.

The spelling of 1842402528 in words is "one billion, eight hundred forty-two million, four hundred two thousand, five hundred twenty-eight".