28842264000 has 896 divisors, whose sum is σ = 117921024000. Its totient is φ = 6842880000.

The previous prime is 28842263999. The next prime is 28842264001. The reversal of 28842264000 is 46224882.

It is a happy number.

28842264000 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 2 + 2 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28842263999) and next prime (28842264001).

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 (28842264001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144935901 + ... + 144936099.

Almost surely, 2^28842264000 is an apocalyptic number.

28842264000 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 28842264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512000).

28842264000 is an abundant number, since it is smaller than the sum of its proper divisors (89078760000).

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

28842264000 is a wasteful number, since it uses less digits than its factorization.

28842264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 28842264000 its reverse (46224882), we get a palindrome (28888488882).

The spelling of 28842264000 in words is "twenty-eight billion, eight hundred forty-two million, two hundred sixty-four thousand".