28754097120 has 768 divisors, whose sum is σ = 122082508800. Its totient is φ = 6180986880.

The previous prime is 28754097103. The next prime is 28754097121. The reversal of 28754097120 is 2179045782.

It is a happy number.

28754097120 is a `hidden beast` number, since 2 + 8 + 7 + 540 + 97 + 12 + 0 = 666.

It is a super-3 number, since 3×28754097120³ (a number of 32 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (28754097121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34684866 + ... + 34685694.

It is an arithmetic number, because the mean of its divisors is an integer number (158961600).

Almost surely, 2^28754097120 is an apocalyptic number.

28754097120 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 28754097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61041254400).

28754097120 is an abundant number, since it is smaller than the sum of its proper divisors (93328411680).

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

28754097120 is a wasteful number, since it uses less digits than its factorization.

28754097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 28754097120 in words is "twenty-eight billion, seven hundred fifty-four million, ninety-seven thousand, one hundred twenty".