28029473472 has 896 divisors, whose sum is σ = 106181591040. Its totient is φ = 6291210240.

The previous prime is 28029473471. The next prime is 28029473473. The reversal of 28029473472 is 27437492082.

It is an interprime number because it is at equal distance from previous prime (28029473471) and next prime (28029473473).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is not an unprimeable number, because it can be changed into a prime (28029473471) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 261957643 + ... + 261957749.

It is an arithmetic number, because the mean of its divisors is an integer number (118506240).

Almost surely, 2^28029473472 is an apocalyptic number.

28029473472 is a gapful number since it is divisible by the number (22) 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 28029473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090795520).

28029473472 is an abundant number, since it is smaller than the sum of its proper divisors (78152117568).

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

28029473472 is a wasteful number, since it uses less digits than its factorization.

28029473472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

It can be divided in two parts, 28029 and 473472, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 28029473472 in words is "twenty-eight billion, twenty-nine million, four hundred seventy-three thousand, four hundred seventy-two".