28806269040 has 240 divisors, whose sum is σ = 101481486912. Its totient is φ = 7308804096.

The previous prime is 28806269033. The next prime is 28806269047. The reversal of 28806269040 is 4096260882.

It is an interprime number because it is at equal distance from previous prime (28806269033) and next prime (28806269047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28806269040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28806269047) 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, 3191574 + ... + 3200586.

Almost surely, 2^28806269040 is an apocalyptic number.

28806269040 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 28806269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50740743456).

28806269040 is an abundant number, since it is smaller than the sum of its proper divisors (72675217872).

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

28806269040 is a wasteful number, since it uses less digits than its factorization.

28806269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28806269040 in words is "twenty-eight billion, eight hundred six million, two hundred sixty-nine thousand, forty".