28620755520 has 224 divisors, whose sum is σ = 103953186048. Its totient is φ = 6535544832.

The previous prime is 28620755519. The next prime is 28620755533. The reversal of 28620755520 is 2555702682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×28620755520³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13391892 + ... + 13394028.

Almost surely, 2^28620755520 is an apocalyptic number.

28620755520 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 28620755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51976593024).

28620755520 is an abundant number, since it is smaller than the sum of its proper divisors (75332430528).

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

28620755520 is a wasteful number, since it uses less digits than its factorization.

28620755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 28620755520 in words is "twenty-eight billion, six hundred twenty million, seven hundred fifty-five thousand, five hundred twenty".