28999422144 has 448 divisors, whose sum is σ = 111893299200. Its totient is φ = 7135257600.

The previous prime is 28999422121. The next prime is 28999422149. The reversal of 28999422144 is 44122499982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28999422149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2522329 + ... + 2533799.

Almost surely, 2^28999422144 is an apocalyptic number.

28999422144 is a gapful number since it is divisible by the number (24) 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 28999422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55946649600).

28999422144 is an abundant number, since it is smaller than the sum of its proper divisors (82893877056).

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

28999422144 is a wasteful number, since it uses less digits than its factorization.

28999422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529 (or 11513 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 28999422144 in words is "twenty-eight billion, nine hundred ninety-nine million, four hundred twenty-two thousand, one hundred forty-four".