28430420340 has 144 divisors (see below), whose sum is σ = 92693305152. Its totient is φ = 6491971584.

The previous prime is 28430420327. The next prime is 28430420351. The reversal of 28430420340 is 4302403482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28430420298 and 28430420307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385627 + ... + 3394013.

It is an arithmetic number, because the mean of its divisors is an integer number (643703508).

Almost surely, 2^28430420340 is an apocalyptic number.

28430420340 is a gapful number since it is divisible by the number (20) 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 28430420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46346652576).

28430420340 is an abundant number, since it is smaller than the sum of its proper divisors (64262884812).

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

28430420340 is a wasteful number, since it uses less digits than its factorization.

28430420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 28430420340 in words is "twenty-eight billion, four hundred thirty million, four hundred twenty thousand, three hundred forty".