28920144960 has 336 divisors, whose sum is σ = 118682536320. Its totient is φ = 6610222080.

The previous prime is 28920144947. The next prime is 28920144971. The reversal of 28920144960 is 6944102982.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389205 + ... + 457515.

Almost surely, 2^28920144960 is an apocalyptic number.

28920144960 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 28920144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59341268160).

28920144960 is an abundant number, since it is smaller than the sum of its proper divisors (89762391360).

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

28920144960 is a wasteful number, since it uses less digits than its factorization.

28920144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68351 (or 68328 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28920144960 in words is "twenty-eight billion, nine hundred twenty million, one hundred forty-four thousand, nine hundred sixty".