28927907424 has 288 divisors, whose sum is σ = 93412859904. Its totient is φ = 8428907520.

The previous prime is 28927907413. The next prime is 28927907429. The reversal of 28927907424 is 42470972982.

It is a happy number.

28927907424 is a `hidden beast` number, since 289 + 279 + 0 + 74 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28927907429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5452357 + ... + 5457659.

It is an arithmetic number, because the mean of its divisors is an integer number (324350208).

Almost surely, 2^28927907424 is an apocalyptic number.

28927907424 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 28927907424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46706429952).

28927907424 is an abundant number, since it is smaller than the sum of its proper divisors (64484952480).

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

28927907424 is a wasteful number, since it uses less digits than its factorization.

28927907424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 28927907424 in words is "twenty-eight billion, nine hundred twenty-seven million, nine hundred seven thousand, four hundred twenty-four".