28741440000 has 1200 divisors, whose sum is σ = 122413915008. Its totient is φ = 5935104000.

The previous prime is 28741439959. The next prime is 28741440001. The reversal of 28741440000 is 4414782.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×28741440000³ (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28741440000.

It is not an unprimeable number, because it can be changed into a prime (28741440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 611519977 + ... + 611520023.

Almost surely, 2^28741440000 is an apocalyptic number.

28741440000 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 28741440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61206957504).

28741440000 is an abundant number, since it is smaller than the sum of its proper divisors (93672475008).

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

28741440000 is an equidigital number, since it uses as much as digits as its factorization.

28741440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

Adding to 28741440000 its reverse (4414782), we get a palindrome (28745854782).

The spelling of 28741440000 in words is "twenty-eight billion, seven hundred forty-one million, four hundred forty thousand".