28141461504 has 224 divisors, whose sum is σ = 89799810240. Its totient is φ = 8658026496.

The previous prime is 28141461503. The next prime is 28141461559. The reversal of 28141461504 is 40516414182.

28141461504 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 146 + 1 + 504 = 666.

It is a super-2 number, since 2×28141461504² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28141461503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870499 + ... + 2880285.

It is an arithmetic number, because the mean of its divisors is an integer number (400892010).

Almost surely, 2^28141461504 is an apocalyptic number.

28141461504 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 28141461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44899905120).

28141461504 is an abundant number, since it is smaller than the sum of its proper divisors (61658348736).

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

28141461504 is an equidigital number, since it uses as much as digits as its factorization.

28141461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 28141461504 its reverse (40516414182), we get a palindrome (68657875686).

The spelling of 28141461504 in words is "twenty-eight billion, one hundred forty-one million, four hundred sixty-one thousand, five hundred four".