28946088960 has 176 divisors, whose sum is σ = 92754843072. Its totient is φ = 7704576000.

The previous prime is 28946088949. The next prime is 28946088979. The reversal of 28946088960 is 6988064982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28946088894 and 28946088903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10151535 + ... + 10154385.

Almost surely, 2^28946088960 is an apocalyptic number.

28946088960 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 28946088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46377421536).

28946088960 is an abundant number, since it is smaller than the sum of its proper divisors (63808754112).

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

28946088960 is a wasteful number, since it uses less digits than its factorization.

28946088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 28946088960 in words is "twenty-eight billion, nine hundred forty-six million, eighty-eight thousand, nine hundred sixty".