28072251648 has 360 divisors, whose sum is σ = 98268750272. Its totient is φ = 7802376192.

The previous prime is 28072251547. The next prime is 28072251659. The reversal of 28072251648 is 84615227082.

28072251648 is a `hidden beast` number, since 28 + 0 + 72 + 2 + 516 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5368011 + ... + 5373237.

Almost surely, 2^28072251648 is an apocalyptic number.

28072251648 is a gapful number since it is divisible by the number (28) 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 28072251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49134375136).

28072251648 is an abundant number, since it is smaller than the sum of its proper divisors (70196498624).

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

28072251648 is an equidigital number, since it uses as much as digits as its factorization.

28072251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5276 counting only the distinct ones).

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

The spelling of 28072251648 in words is "twenty-eight billion, seventy-two million, two hundred fifty-one thousand, six hundred forty-eight".