28716145920 has 1296 divisors, whose sum is σ = 130619448960. Its totient is φ = 5912248320.

The previous prime is 28716145907. The next prime is 28716145933. The reversal of 28716145920 is 2954161782.

28716145920 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 614 + 5 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (28716145907) and next prime (28716145933).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263450826 + ... + 263450934.

Almost surely, 2^28716145920 is an apocalyptic number.

28716145920 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 28716145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65309724480).

28716145920 is an abundant number, since it is smaller than the sum of its proper divisors (101903303040).

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

28716145920 is a wasteful number, since it uses less digits than its factorization.

28716145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 28716145920 in words is "twenty-eight billion, seven hundred sixteen million, one hundred forty-five thousand, nine hundred twenty".