28700973699840 has 1728 divisors, whose sum is σ = 113040821013120. Its totient is φ = 6930030919680.

The previous prime is 28700973699823. The next prime is 28700973699899. The reversal of 28700973699840 is 4899637900782.

28700973699840 is a `hidden beast` number, since 28 + 70 + 0 + 97 + 369 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62258077210 + ... + 62258077670.

It is an arithmetic number, because the mean of its divisors is an integer number (65417141790).

Almost surely, 2^{28700973699840} is an apocalyptic number.

28700973699840 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 28700973699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56520410506560).

28700973699840 is an abundant number, since it is smaller than the sum of its proper divisors (84339847313280).

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

28700973699840 is a wasteful number, since it uses less digits than its factorization.

28700973699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 28700973699840 in words is "twenty-eight trillion, seven hundred billion, nine hundred seventy-three million, six hundred ninety-nine thousand, eight hundred forty".