28991403441000 has 8192 divisors, whose sum is σ = 155969888256000. Its totient is φ = 4837294080000.

The previous prime is 28991403440899. The next prime is 28991403441023. The reversal of 28991403441000 is 14430419982.

28991403441000 is a `hidden beast` number, since 2 + 8 + 99 + 140 + 3 + 4 + 410 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 2047 ways as a sum of consecutive naturals, for example, 707107400980 + ... + 707107401020.

It is an arithmetic number, because the mean of its divisors is an integer number (19039293000).

Almost surely, 2^{28991403441000} is an apocalyptic number.

28991403441000 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 28991403441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77984944128000).

28991403441000 is an abundant number, since it is smaller than the sum of its proper divisors (126978484815000).

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

28991403441000 is a wasteful number, since it uses less digits than its factorization.

28991403441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28991403441000 in words is "twenty-eight trillion, nine hundred ninety-one billion, four hundred three million, four hundred forty-one thousand".