28734516720 has 960 divisors, whose sum is σ = 126785218560. Its totient is φ = 5885374464.

The previous prime is 28734516719. The next prime is 28734516737. The reversal of 28734516720 is 2761543782.

28734516720 is a `hidden beast` number, since 2 + 87 + 34 + 516 + 7 + 20 = 666.

It is a super-2 number, since 2×28734516720² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 65454261 + ... + 65454699.

It is an arithmetic number, because the mean of its divisors is an integer number (132067936).

Almost surely, 2^28734516720 is an apocalyptic number.

28734516720 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 28734516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63392609280).

28734516720 is an abundant number, since it is smaller than the sum of its proper divisors (98050701840).

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

28734516720 is a wasteful number, since it uses less digits than its factorization.

28734516720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 28734516720 in words is "twenty-eight billion, seven hundred thirty-four million, five hundred sixteen thousand, seven hundred twenty".