28946961360 has 160 divisors (see below), whose sum is σ = 100319114880. Its totient is φ = 7671739392.

The previous prime is 28946961347. The next prime is 28946961367. The reversal of 28946961360 is 6316964982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28946961297 and 28946961306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28946961367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310972 + ... + 393188.

It is an arithmetic number, because the mean of its divisors is an integer number (626994468).

Almost surely, 2^28946961360 is an apocalyptic number.

28946961360 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 28946961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50159557440).

28946961360 is an abundant number, since it is smaller than the sum of its proper divisors (71372153520).

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

28946961360 is a wasteful number, since it uses less digits than its factorization.

28946961360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82402 (or 82390 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 28946961360 in words is "twenty-eight billion, nine hundred forty-six million, nine hundred sixty-one thousand, three hundred sixty".