28219791600 has 1440 divisors, whose sum is σ = 135399333888. Its totient is φ = 5253120000.

The previous prime is 28219791583. The next prime is 28219791601. The reversal of 28219791600 is 619791282.

28219791600 is a `hidden beast` number, since 28 + 2 + 19 + 7 + 9 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28219791601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 147747505 + ... + 147747695.

Almost surely, 2^28219791600 is an apocalyptic number.

28219791600 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 28219791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67699666944).

28219791600 is an abundant number, since it is smaller than the sum of its proper divisors (107179542288).

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

28219791600 is a wasteful number, since it uses less digits than its factorization.

28219791600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 28219791600 in words is "twenty-eight billion, two hundred nineteen million, seven hundred ninety-one thousand, six hundred".