28546111440 has 960 divisors, whose sum is σ = 127109578752. Its totient is φ = 5565542400.

The previous prime is 28546111421. The next prime is 28546111441. The reversal of 28546111440 is 4411164582.

28546111440 is a `hidden beast` number, since 2 + 85 + 461 + 114 + 4 + 0 = 666.

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 = 28546111395 and 28546111404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28546111441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77782137 + ... + 77782503.

Almost surely, 2^28546111440 is an apocalyptic number.

28546111440 is a gapful number since it is divisible by the number (20) 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 28546111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63554789376).

28546111440 is an abundant number, since it is smaller than the sum of its proper divisors (98563467312).

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

28546111440 is a wasteful number, since it uses less digits than its factorization.

28546111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

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

The spelling of 28546111440 in words is "twenty-eight billion, five hundred forty-six million, one hundred eleven thousand, four hundred forty".