10154636928 has 240 divisors, whose sum is σ = 32111724150. Its totient is φ = 3184828416.

The previous prime is 10154636893. The next prime is 10154636929. The reversal of 10154636928 is 82963645101.

10154636928 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 4 + 636 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9715650624 + 438986304 = 98568^2 + 20952^2 .

It is a super-2 number, since 2×10154636928² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10154636929) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2994658 + ... + 2998046.

Almost surely, 2^10154636928 is an apocalyptic number.

10154636928 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 10154636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055862075).

10154636928 is an abundant number, since it is smaller than the sum of its proper divisors (21957087222).

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

10154636928 is an equidigital number, since it uses as much as digits as its factorization.

10154636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10154636928 in words is "ten billion, one hundred fifty-four million, six hundred thirty-six thousand, nine hundred twenty-eight".