28192473600 has 480 divisors, whose sum is σ = 103846121280. Its totient is φ = 6700400640.

The previous prime is 28192473563. The next prime is 28192473607. The reversal of 28192473600 is 637429182.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28192473607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12402064 + ... + 12404336.

It is an arithmetic number, because the mean of its divisors is an integer number (216346086).

Almost surely, 2^28192473600 is an apocalyptic number.

28192473600 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 28192473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51923060640).

28192473600 is an abundant number, since it is smaller than the sum of its proper divisors (75653647680).

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

28192473600 is a wasteful number, since it uses less digits than its factorization.

28192473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 28192473600 in words is "twenty-eight billion, one hundred ninety-two million, four hundred seventy-three thousand, six hundred".