28745046720 has 560 divisors, whose sum is σ = 114935325120. Its totient is φ = 6766239744.

The previous prime is 28745046709. The next prime is 28745046721. The reversal of 28745046720 is 2764054782.

It is a happy number.

28745046720 is a `hidden beast` number, since 2 + 8 + 74 + 504 + 6 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28745046721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7748226 + ... + 7751934.

It is an arithmetic number, because the mean of its divisors is an integer number (205241652).

Almost surely, 2^28745046720 is an apocalyptic number.

28745046720 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 28745046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57467662560).

28745046720 is an abundant number, since it is smaller than the sum of its proper divisors (86190278400).

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

28745046720 is a wasteful number, since it uses less digits than its factorization.

28745046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 28745046720 in words is "twenty-eight billion, seven hundred forty-five million, forty-six thousand, seven hundred twenty".