28413116040 has 128 divisors (see below), whose sum is σ = 89933184000. Its totient is φ = 7161447168.

The previous prime is 28413115967. The next prime is 28413116041. The reversal of 28413116040 is 4061131482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28413115989 and 28413116007.

It is not an unprimeable number, because it can be changed into a prime (28413116041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 986727 + ... + 1015113.

It is an arithmetic number, because the mean of its divisors is an integer number (702603000).

Almost surely, 2^28413116040 is an apocalyptic number.

28413116040 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 28413116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44966592000).

28413116040 is an abundant number, since it is smaller than the sum of its proper divisors (61520067960).

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

28413116040 is a wasteful number, since it uses less digits than its factorization.

28413116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28859 (or 28855 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

It can be divided in two parts, 28413 and 116040, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 28413116040 in words is "twenty-eight billion, four hundred thirteen million, one hundred sixteen thousand, forty".