28346757120 has 936 divisors, whose sum is σ = 114204295296. Its totient is φ = 6488064000.

The previous prime is 28346757113. The next prime is 28346757139. The reversal of 28346757120 is 2175764382.

28346757120 is a `hidden beast` number, since 28 + 34 + 6 + 7 + 571 + 20 = 666.

It is a super-3 number, since 3×28346757120³ (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 691384300 + ... + 691384340.

It is an arithmetic number, because the mean of its divisors is an integer number (122013136).

Almost surely, 2^28346757120 is an apocalyptic number.

28346757120 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 28346757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57102147648).

28346757120 is an abundant number, since it is smaller than the sum of its proper divisors (85857538176).

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

28346757120 is a wasteful number, since it uses less digits than its factorization.

28346757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

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

The spelling of 28346757120 in words is "twenty-eight billion, three hundred forty-six million, seven hundred fifty-seven thousand, one hundred twenty".