28978970073984 has 384 divisors, whose sum is σ = 99463366080000. Its totient is φ = 7918372712448.

The previous prime is 28978970073947. The next prime is 28978970074049. The reversal of 28978970073984 is 48937007987982.

28978970073984 is a `hidden beast` number, since 2 + 89 + 7 + 89 + 70 + 0 + 7 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632701142 + ... + 1632718890.

It is an arithmetic number, because the mean of its divisors is an integer number (259019182500).

Almost surely, 2^{28978970073984} is an apocalyptic number.

28978970073984 is a gapful number since it is divisible by the number (24) 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 28978970073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49731683040000).

28978970073984 is an abundant number, since it is smaller than the sum of its proper divisors (70484396006016).

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

28978970073984 is a wasteful number, since it uses less digits than its factorization.

28978970073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26602 (or 26587 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 28978970073984 in words is "twenty-eight trillion, nine hundred seventy-eight billion, nine hundred seventy million, seventy-three thousand, nine hundred eighty-four".