28654029015040 has 768 divisors, whose sum is σ = 84505880309760. Its totient is φ = 9175809392640.

The previous prime is 28654029014981. The next prime is 28654029015041. The reversal of 28654029015040 is 4051092045682.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (28654029015041) 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, 16401847447 + ... + 16401849193.

It is an arithmetic number, because the mean of its divisors is an integer number (110033698320).

Almost surely, 2^{28654029015040} is an apocalyptic number.

28654029015040 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 28654029015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42252940154880).

28654029015040 is an abundant number, since it is smaller than the sum of its proper divisors (55851851294720).

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

28654029015040 is a wasteful number, since it uses less digits than its factorization.

28654029015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 28654029015040 in words is "twenty-eight trillion, six hundred fifty-four billion, twenty-nine million, fifteen thousand, forty".