28026428040 has 384 divisors, whose sum is σ = 104968281600. Its totient is φ = 6427330560.

The previous prime is 28026427997. The next prime is 28026428041. The reversal of 28026428040 is 4082462082.

It is a happy number.

28026428040 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 642 + 8 + 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 = 28026427986 and 28026428004.

It is not an unprimeable number, because it can be changed into a prime (28026428041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5421537 + ... + 5426703.

It is an arithmetic number, because the mean of its divisors is an integer number (273354900).

Almost surely, 2^28026428040 is an apocalyptic number.

28026428040 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 28026428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484140800).

28026428040 is an abundant number, since it is smaller than the sum of its proper divisors (76941853560).

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

28026428040 is a wasteful number, since it uses less digits than its factorization.

28026428040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 28026428040 in words is "twenty-eight billion, twenty-six million, four hundred twenty-eight thousand, forty".