28301543424 has 1152 divisors, whose sum is σ = 115860326400. Its totient is φ = 6617825280.

The previous prime is 28301543371. The next prime is 28301543437. The reversal of 28301543424 is 42434510382.

28301543424 is a `hidden beast` number, since 2 + 8 + 301 + 5 + 4 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1230501877 + ... + 1230501899.

It is an arithmetic number, because the mean of its divisors is an integer number (100573200).

Almost surely, 2^28301543424 is an apocalyptic number.

28301543424 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 28301543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57930163200).

28301543424 is an abundant number, since it is smaller than the sum of its proper divisors (87558782976).

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

28301543424 is a wasteful number, since it uses less digits than its factorization.

28301543424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 28301543424 in words is "twenty-eight billion, three hundred one million, five hundred forty-three thousand, four hundred twenty-four".