10450556928 has 768 divisors, whose sum is σ = 39312000000. Its totient is φ = 2731180032.

The previous prime is 10450556927. The next prime is 10450556933. The reversal of 10450556928 is 82965505401.

10450556928 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 556 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450556927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360364018 + ... + 360364046.

It is an arithmetic number, because the mean of its divisors is an integer number (51187500).

Almost surely, 2^10450556928 is an apocalyptic number.

10450556928 is a gapful number since it is divisible by the number (18) 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 10450556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000000).

10450556928 is an abundant number, since it is smaller than the sum of its proper divisors (28861443072).

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

10450556928 is an equidigital number, since it uses as much as digits as its factorization.

10450556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 10450556928 in words is "ten billion, four hundred fifty million, five hundred fifty-six thousand, nine hundred twenty-eight".