28979883073440 has 576 divisors, whose sum is σ = 116942386369536. Its totient is φ = 6713889472512.

The previous prime is 28979883073417. The next prime is 28979883073441. The reversal of 28979883073440 is 4437038897982.

28979883073440 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 9 + 88 + 30 + 73 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28979883073441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6906129 + ... + 10278831.

It is an arithmetic number, because the mean of its divisors is an integer number (203024976336).

Almost surely, 2^{28979883073440} is an apocalyptic number.

28979883073440 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 28979883073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58471193184768).

28979883073440 is an abundant number, since it is smaller than the sum of its proper divisors (87962503296096).

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

28979883073440 is a wasteful number, since it uses less digits than its factorization.

28979883073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372763 (or 3372743 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 28979883073440 in words is "twenty-eight trillion, nine hundred seventy-nine billion, eight hundred eighty-three million, seventy-three thousand, four hundred forty".