28402071040 has 640 divisors, whose sum is σ = 87114424320. Its totient is φ = 8670412800.

The previous prime is 28402071029. The next prime is 28402071043. The reversal of 28402071040 is 4017020482.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×28402071040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28402071043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660513259 + ... + 660513301.

It is an arithmetic number, because the mean of its divisors is an integer number (136116288).

Almost surely, 2^28402071040 is an apocalyptic number.

28402071040 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 28402071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43557212160).

28402071040 is an abundant number, since it is smaller than the sum of its proper divisors (58712353280).

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

28402071040 is a wasteful number, since it uses less digits than its factorization.

28402071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 28402071040 in words is "twenty-eight billion, four hundred two million, seventy-one thousand, forty".