28542519720 has 1024 divisors, whose sum is σ = 120185856000. Its totient is φ = 5922201600.

The previous prime is 28542519689. The next prime is 28542519727. The reversal of 28542519720 is 2791524582.

28542519720 is a `hidden beast` number, since 28 + 5 + 42 + 519 + 72 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (28542519727) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208339492 + ... + 208339628.

It is an arithmetic number, because the mean of its divisors is an integer number (117369000).

Almost surely, 2^28542519720 is an apocalyptic number.

28542519720 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 28542519720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60092928000).

28542519720 is an abundant number, since it is smaller than the sum of its proper divisors (91643336280).

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

28542519720 is a wasteful number, since it uses less digits than its factorization.

28542519720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 28542519720 in words is "twenty-eight billion, five hundred forty-two million, five hundred nineteen thousand, seven hundred twenty".