28967959238400 has 4860 divisors, whose sum is σ = 142195436143992. Its totient is φ = 5790241013760.

The previous prime is 28967959238389. The next prime is 28967959238429. The reversal of 28967959238400 is 483295976982.

28967959238400 is a `hidden beast` number, since 2 + 8 + 96 + 79 + 5 + 92 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4860).

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

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 539 ways as a sum of consecutive naturals, for example, 1524629433591 + ... + 1524629433609.

Almost surely, 2^{28967959238400} is an apocalyptic number.

28967959238400 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 28967959238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71097718071996).

28967959238400 is an abundant number, since it is smaller than the sum of its proper divisors (113227476905592).

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

28967959238400 is an frugal number, since it uses more digits than its factorization.

28967959238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 28967959238400 in words is "twenty-eight trillion, nine hundred sixty-seven billion, nine hundred fifty-nine million, two hundred thirty-eight thousand, four hundred".