28505346263520 has 288 divisors, whose sum is σ = 104491630339488. Its totient is φ = 6513019011072.

The previous prime is 28505346263519. The next prime is 28505346263521. The reversal of 28505346263520 is 2536264350582.

It is an interprime number because it is at equal distance from previous prime (28505346263519) and next prime (28505346263521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28505346263521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61698012 + ... + 62158308.

It is an arithmetic number, because the mean of its divisors is an integer number (362818160901).

Almost surely, 2^{28505346263520} is an apocalyptic number.

28505346263520 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 28505346263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52245815169744).

28505346263520 is an abundant number, since it is smaller than the sum of its proper divisors (75986284075968).

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

28505346263520 is a wasteful number, since it uses less digits than its factorization.

28505346263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462962 (or 462947 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 28505346263520 in words is "twenty-eight trillion, five hundred five billion, three hundred forty-six million, two hundred sixty-three thousand, five hundred twenty".