28333038414720 has 768 divisors, whose sum is σ = 102660730214400. Its totient is φ = 6634775347200.

The previous prime is 28333038414691. The next prime is 28333038414749. The reversal of 28333038414720 is 2741483033382.

It is an interprime number because it is at equal distance from previous prime (28333038414691) and next prime (28333038414749).

It is a super-2 number, since 2×28333038414720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28333038414720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593450050 + ... + 593497790.

It is an arithmetic number, because the mean of its divisors is an integer number (133672825800).

Almost surely, 2^{28333038414720} is an apocalyptic number.

28333038414720 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 28333038414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330365107200).

28333038414720 is an abundant number, since it is smaller than the sum of its proper divisors (74327691799680).

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

28333038414720 is a wasteful number, since it uses less digits than its factorization.

28333038414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47879 (or 47854 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 28333038414720 in words is "twenty-eight trillion, three hundred thirty-three billion, thirty-eight million, four hundred fourteen thousand, seven hundred twenty".