28620720 has 120 divisors (see below), whose sum is σ = 97184256. Its totient is φ = 7547904.

The previous prime is 28620701. The next prime is 28620727. The reversal of 28620720 is 2702682.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×28620720³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28620727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91284 + ... + 91596.

Almost surely, 2^28620720 is an apocalyptic number.

28620720 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 28620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48592128).

28620720 is an abundant number, since it is smaller than the sum of its proper divisors (68563536).

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

28620720 is a wasteful number, since it uses less digits than its factorization.

28620720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28620720 is about 5349.8336422734. The cubic root of 28620720 is about 305.8864117689.

The spelling of 28620720 in words is "twenty-eight million, six hundred twenty thousand, seven hundred twenty".