28977428818800 has 3600 divisors, whose sum is σ = 139500138919680. Its totient is φ = 5619190579200.

The previous prime is 28977428818763. The next prime is 28977428818801. The reversal of 28977428818800 is 881882477982.

28977428818800 is a `hidden beast` number, since 28 + 97 + 7 + 428 + 8 + 18 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28977428818801) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 83508440227 + ... + 83508440573.

Almost surely, 2^{28977428818800} is an apocalyptic number.

28977428818800 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 28977428818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750069459840).

28977428818800 is an abundant number, since it is smaller than the sum of its proper divisors (110522710100880).

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

28977428818800 is a wasteful number, since it uses less digits than its factorization.

28977428818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 72.

The spelling of 28977428818800 in words is "twenty-eight trillion, nine hundred seventy-seven billion, four hundred twenty-eight million, eight hundred eighteen thousand, eight hundred".