28942917120 has 480 divisors, whose sum is σ = 109548863424. Its totient is φ = 7018905600.

The previous prime is 28942917089. The next prime is 28942917131. The reversal of 28942917120 is 2171924982.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21265240 + ... + 21266600.

Almost surely, 2^28942917120 is an apocalyptic number.

28942917120 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 28942917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54774431712).

28942917120 is an abundant number, since it is smaller than the sum of its proper divisors (80605946304).

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

28942917120 is a wasteful number, since it uses less digits than its factorization.

28942917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 28942917120 in words is "twenty-eight billion, nine hundred forty-two million, nine hundred seventeen thousand, one hundred twenty".