28362324420 has 288 divisors, whose sum is σ = 94427625600. Its totient is φ = 7063144704.

The previous prime is 28362324407. The next prime is 28362324427. The reversal of 28362324420 is 2442326382.

28362324420 is a `hidden beast` number, since 2 + 8 + 3 + 623 + 2 + 4 + 4 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28362324427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12282226 + ... + 12284534.

It is an arithmetic number, because the mean of its divisors is an integer number (327873700).

Almost surely, 2^28362324420 is an apocalyptic number.

28362324420 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 28362324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47213812800).

28362324420 is an abundant number, since it is smaller than the sum of its proper divisors (66065301180).

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

28362324420 is a wasteful number, since it uses less digits than its factorization.

28362324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 28362324420 in words is "twenty-eight billion, three hundred sixty-two million, three hundred twenty-four thousand, four hundred twenty".