28301742144 has 840 divisors, whose sum is σ = 102543376320. Its totient is φ = 7636654080.

The previous prime is 28301742127. The next prime is 28301742149. The reversal of 28301742144 is 44124710382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28301742099 and 28301742108.

It is not an unprimeable number, because it can be changed into a prime (28301742149) 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, 912959409 + ... + 912959439.

It is an arithmetic number, because the mean of its divisors is an integer number (122075448).

Almost surely, 2^28301742144 is an apocalyptic number.

28301742144 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 28301742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271688160).

28301742144 is an abundant number, since it is smaller than the sum of its proper divisors (74241634176).

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

28301742144 is a wasteful number, since it uses less digits than its factorization.

28301742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28301742144 in words is "twenty-eight billion, three hundred one million, seven hundred forty-two thousand, one hundred forty-four".