28972948193280 has 1632 divisors, whose sum is σ = 126302079181824. Its totient is φ = 5980305752064.

The previous prime is 28972948193239. The next prime is 28972948193309. The reversal of 28972948193280 is 8239184927982.

28972948193280 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 294 + 8 + 1 + 9 + 328 + 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 = 28972948193199 and 28972948193208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12613385092 + ... + 12613387388.

Almost surely, 2^{28972948193280} is an apocalyptic number.

28972948193280 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 28972948193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63151039590912).

28972948193280 is an abundant number, since it is smaller than the sum of its proper divisors (97329130988544).

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

28972948193280 is a wasteful number, since it uses less digits than its factorization.

28972948193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 28972948193280 in words is "twenty-eight trillion, nine hundred seventy-two billion, nine hundred forty-eight million, one hundred ninety-three thousand, two hundred eighty".