28941963120 has 320 divisors, whose sum is σ = 114421248000. Its totient is φ = 6586804224.

The previous prime is 28941963109. The next prime is 28941963131. The reversal of 28941963120 is 2136914982.

28941963120 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 1 + 9 + 631 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28941963109) and next prime (28941963131).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3609676 + ... + 3617684.

It is an arithmetic number, because the mean of its divisors is an integer number (357566400).

Almost surely, 2^28941963120 is an apocalyptic number.

28941963120 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 28941963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57210624000).

28941963120 is an abundant number, since it is smaller than the sum of its proper divisors (85479284880).

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

28941963120 is a wasteful number, since it uses less digits than its factorization.

28941963120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 28941963120 in words is "twenty-eight billion, nine hundred forty-one million, nine hundred sixty-three thousand, one hundred twenty".