10228920408 has 160 divisors (see below), whose sum is σ = 34466995200. Its totient is φ = 2768707008.

The previous prime is 10228920407. The next prime is 10228920431. The reversal of 10228920408 is 80402982201.

10228920408 is a `hidden beast` number, since 1 + 0 + 228 + 9 + 20 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228920407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26841 + ... + 145527.

It is an arithmetic number, because the mean of its divisors is an integer number (215418720).

Almost surely, 2^10228920408 is an apocalyptic number.

10228920408 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 10228920408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233497600).

10228920408 is an abundant number, since it is smaller than the sum of its proper divisors (24238074792).

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

10228920408 is a wasteful number, since it uses less digits than its factorization.

10228920408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118731 (or 118718 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10228920408 in words is "ten billion, two hundred twenty-eight million, nine hundred twenty thousand, four hundred eight".