28632105105408 has 576 divisors, whose sum is σ = 97884344376000. Its totient is φ = 7889051713536.

The previous prime is 28632105105371. The next prime is 28632105105427. The reversal of 28632105105408 is 80450150123682.

28632105105408 is a `hidden beast` number, since 2 + 8 + 6 + 32 + 105 + 105 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3476031466 + ... + 3476039702.

It is an arithmetic number, because the mean of its divisors is an integer number (169938097875).

Almost surely, 2^{28632105105408} is an apocalyptic number.

28632105105408 is a gapful number since it is divisible by the number (28) 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 28632105105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48942172188000).

28632105105408 is an abundant number, since it is smaller than the sum of its proper divisors (69252239270592).

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

28632105105408 is a wasteful number, since it uses less digits than its factorization.

28632105105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 28632105105408 in words is "twenty-eight trillion, six hundred thirty-two billion, one hundred five million, one hundred five thousand, four hundred eight".