28951369920 has 1008 divisors, whose sum is σ = 120851456544. Its totient is φ = 6569164800.

The previous prime is 28951369919. The next prime is 28951369969. The reversal of 28951369920 is 2996315982.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159952230 + ... + 159952410.

It is an arithmetic number, because the mean of its divisors is an integer number (119892318).

Almost surely, 2^28951369920 is an apocalyptic number.

28951369920 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 28951369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60425728272).

28951369920 is an abundant number, since it is smaller than the sum of its proper divisors (91900086624).

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

28951369920 is a wasteful number, since it uses less digits than its factorization.

28951369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 28951369920 in words is "twenty-eight billion, nine hundred fifty-one million, three hundred sixty-nine thousand, nine hundred twenty".