28690012391040 has 3840 divisors, whose sum is σ = 147426453820800. Its totient is φ = 5212094791680.

The previous prime is 28690012391017. The next prime is 28690012391041. The reversal of 28690012391040 is 4019321009682.

28690012391040 is a `hidden beast` number, since 286 + 90 + 0 + 1 + 239 + 10 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28690012391041) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6901612642 + ... + 6901616798.

Almost surely, 2^{28690012391040} is an apocalyptic number.

28690012391040 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 28690012391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73713226910400).

28690012391040 is an abundant number, since it is smaller than the sum of its proper divisors (118736441429760).

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

28690012391040 is a wasteful number, since it uses less digits than its factorization.

28690012391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 28690012391040 in words is "twenty-eight trillion, six hundred ninety billion, twelve million, three hundred ninety-one thousand, forty".