28629048960 has 192 divisors, whose sum is σ = 101532323880. Its totient is φ = 7428022272.

The previous prime is 28629048919. The next prime is 28629048989. The reversal of 28629048960 is 6984092682.

It is a happy number.

28629048960 is a `hidden beast` number, since 2 + 8 + 629 + 0 + 4 + 8 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27798225984 + 830822976 = 166728^2 + 28824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 28629048897 and 28629048906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145954 + ... + 280286.

Almost surely, 2^28629048960 is an apocalyptic number.

28629048960 is a gapful number since it is divisible by the number (20) 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 28629048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50766161940).

28629048960 is an abundant number, since it is smaller than the sum of its proper divisors (72903274920).

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

28629048960 is a wasteful number, since it uses less digits than its factorization.

28629048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134395 (or 134380 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28629048960 in words is "twenty-eight billion, six hundred twenty-nine million, forty-eight thousand, nine hundred sixty".