28735740 has 144 divisors (see below), whose sum is σ = 99380736. Its totient is φ = 6652800.

The previous prime is 28735709. The next prime is 28735747. The reversal of 28735740 is 4753782.

28735740 is a `hidden beast` number, since 2 + 87 + 3 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28735695 and 28735704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28735747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45225 + ... + 45855.

It is an arithmetic number, because the mean of its divisors is an integer number (690144).

Almost surely, 2^28735740 is an apocalyptic number.

28735740 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 28735740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49690368).

28735740 is an abundant number, since it is smaller than the sum of its proper divisors (70644996).

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

28735740 is a wasteful number, since it uses less digits than its factorization.

28735740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 28735740 is about 5360.5727305951. The cubic root of 28735740 is about 306.2956261329.

The spelling of 28735740 in words is "twenty-eight million, seven hundred thirty-five thousand, seven hundred forty".