10422217728 has 352 divisors, whose sum is σ = 33674296320. Its totient is φ = 3165143040.

The previous prime is 10422217699. The next prime is 10422217747. The reversal of 10422217728 is 82771222401.

10422217728 is a `hidden beast` number, since 10 + 422 + 217 + 7 + 2 + 8 = 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 = 10422217692 and 10422217701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38458233 + ... + 38458503.

Almost surely, 2^10422217728 is an apocalyptic number.

10422217728 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 10422217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837148160).

10422217728 is an abundant number, since it is smaller than the sum of its proper divisors (23252078592).

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

10422217728 is a wasteful number, since it uses less digits than its factorization.

10422217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

It can be divided in two parts, 10422 and 217728, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 10422217728 in words is "ten billion, four hundred twenty-two million, two hundred seventeen thousand, seven hundred twenty-eight".