28458918000 has 640 divisors, whose sum is σ = 111769632000. Its totient is φ = 6889881600.

The previous prime is 28458917987. The next prime is 28458918023. The reversal of 28458918000 is 81985482.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26621466 + ... + 26622534.

It is an arithmetic number, because the mean of its divisors is an integer number (174640050).

Almost surely, 2^28458918000 is an apocalyptic number.

28458918000 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 28458918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55884816000).

28458918000 is an abundant number, since it is smaller than the sum of its proper divisors (83310714000).

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

28458918000 is a wasteful number, since it uses less digits than its factorization.

28458918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 28458918000 in words is "twenty-eight billion, four hundred fifty-eight million, nine hundred eighteen thousand".