28429885440000 has 3400 divisors, whose sum is σ = 124854312955680. Its totient is φ = 6370099200000.

The previous prime is 28429885439999. The next prime is 28429885440023. The reversal of 28429885440000 is 4458892482.

28429885440000 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 98 + 8 + 544 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×28429885440000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 693411839980 + ... + 693411840020.

Almost surely, 2^{28429885440000} is an apocalyptic number.

28429885440000 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 28429885440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62427156477840).

28429885440000 is an abundant number, since it is smaller than the sum of its proper divisors (96424427515680).

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

28429885440000 is an frugal number, since it uses more digits than its factorization.

28429885440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 28429885440000 in words is "twenty-eight trillion, four hundred twenty-nine billion, eight hundred eighty-five million, four hundred forty thousand".