28835420040 has 768 divisors, whose sum is σ = 117253440000. Its totient is φ = 6378341760.

The previous prime is 28835420021. The next prime is 28835420057. The reversal of 28835420040 is 4002453882.

28835420040 is a `hidden beast` number, since 288 + 354 + 20 + 0 + 4 + 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 = 28835419977 and 28835420004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 930174825 + ... + 930174855.

It is an arithmetic number, because the mean of its divisors is an integer number (152673750).

Almost surely, 2^28835420040 is an apocalyptic number.

28835420040 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 28835420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58626720000).

28835420040 is an abundant number, since it is smaller than the sum of its proper divisors (88418019960).

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

28835420040 is an frugal number, since it uses more digits than its factorization.

28835420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28835420040 in words is "twenty-eight billion, eight hundred thirty-five million, four hundred twenty thousand, forty".