28756151424 has 576 divisors, whose sum is σ = 111994384320. Its totient is φ = 6891540480.

The previous prime is 28756151399. The next prime is 28756151429. The reversal of 28756151424 is 42415165782.

28756151424 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 615 + 1 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 28756151424.

It is not an unprimeable number, because it can be changed into a prime (28756151429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12683539 + ... + 12685805.

It is an arithmetic number, because the mean of its divisors is an integer number (194434695).

Almost surely, 2^28756151424 is an apocalyptic number.

28756151424 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 28756151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55997192160).

28756151424 is an abundant number, since it is smaller than the sum of its proper divisors (83238232896).

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

28756151424 is a wasteful number, since it uses less digits than its factorization.

28756151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2303 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 28756151424 in words is "twenty-eight billion, seven hundred fifty-six million, one hundred fifty-one thousand, four hundred twenty-four".