28357620480 has 720 divisors, whose sum is σ = 118917336384. Its totient is φ = 6317015040.

The previous prime is 28357620463. The next prime is 28357620493. The reversal of 28357620480 is 8402675382.

28357620480 is a `hidden beast` number, since 2 + 83 + 5 + 76 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29755684 + ... + 29756636.

Almost surely, 2^28357620480 is an apocalyptic number.

28357620480 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 28357620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59458668192).

28357620480 is an abundant number, since it is smaller than the sum of its proper divisors (90559715904).

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

28357620480 is an equidigital number, since it uses as much as digits as its factorization.

28357620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28357620480 in words is "twenty-eight billion, three hundred fifty-seven million, six hundred twenty thousand, four hundred eighty".