28628379648 has 144 divisors (see below), whose sum is σ = 90201384000. Its totient is φ = 8675205120.

The previous prime is 28628379631. The next prime is 28628379649. The reversal of 28628379648 is 84697382682.

28628379648 is a `hidden beast` number, since 286 + 283 + 79 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (28628379649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132153 + ... + 273351.

It is an arithmetic number, because the mean of its divisors is an integer number (626398500).

Almost surely, 2^28628379648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28628379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100692000).

28628379648 is an abundant number, since it is smaller than the sum of its proper divisors (61573004352).

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

28628379648 is a wasteful number, since it uses less digits than its factorization.

28628379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141238 (or 141215 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 28628379648 in words is "twenty-eight billion, six hundred twenty-eight million, three hundred seventy-nine thousand, six hundred forty-eight".