28924756922880 has 1600 divisors, whose sum is σ = 134219431906560. Its totient is φ = 5781533884416.

The previous prime is 28924756922833. The next prime is 28924756922903. The reversal of 28924756922880 is 8822965742982.

It is a happy number.

28924756922880 is a `hidden beast` number, since 2 + 8 + 92 + 475 + 69 + 2 + 2 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28924756922799 and 28924756922808.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358485102 + ... + 358565778.

Almost surely, 2^{28924756922880} is an apocalyptic number.

28924756922880 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 28924756922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109715953280).

28924756922880 is an abundant number, since it is smaller than the sum of its proper divisors (105294674983680).

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

28924756922880 is a wasteful number, since it uses less digits than its factorization.

28924756922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80751 (or 80726 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 28924756922880 in words is "twenty-eight trillion, nine hundred twenty-four billion, seven hundred fifty-six million, nine hundred twenty-two thousand, eight hundred eighty".