28154760480 has 576 divisors, whose sum is σ = 123664859136. Its totient is φ = 5660928000.

The previous prime is 28154760451. The next prime is 28154760497. The reversal of 28154760480 is 8406745182.

28154760480 is a `hidden beast` number, since 2 + 8 + 1 + 547 + 60 + 48 + 0 = 666.

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

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, 3433185 + ... + 3441375.

It is an arithmetic number, because the mean of its divisors is an integer number (214695936).

Almost surely, 2^28154760480 is an apocalyptic number.

28154760480 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 28154760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61832429568).

28154760480 is an abundant number, since it is smaller than the sum of its proper divisors (95510098656).

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

28154760480 is a wasteful number, since it uses less digits than its factorization.

28154760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28154760480 in words is "twenty-eight billion, one hundred fifty-four million, seven hundred sixty thousand, four hundred eighty".