28946211840 has 1320 divisors, whose sum is σ = 130540956480. Its totient is φ = 6003818496.

The previous prime is 28946211829. The next prime is 28946211851. The reversal of 28946211840 is 4811264982.

28946211840 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 621 + 18 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28946211829) and next prime (28946211851).

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

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 119 ways as a sum of consecutive naturals, for example, 490613731 + ... + 490613789.

It is an arithmetic number, because the mean of its divisors is an integer number (98894664).

Almost surely, 2^28946211840 is an apocalyptic number.

28946211840 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 28946211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65270478240).

28946211840 is an abundant number, since it is smaller than the sum of its proper divisors (101594744640).

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

28946211840 is a wasteful number, since it uses less digits than its factorization.

28946211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28946211840 in words is "twenty-eight billion, nine hundred forty-six million, two hundred eleven thousand, eight hundred forty".