28354146048 has 324 divisors, whose sum is σ = 87938971120. Its totient is φ = 8783659008.

The previous prime is 28354145977. The next prime is 28354146059. The reversal of 28354146048 is 84064145382.

28354146048 is a `hidden beast` number, since 2 + 8 + 3 + 541 + 4 + 60 + 48 = 666.

It is a super-2 number, since 2×28354146048² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28354145994 and 28354146012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64587813 + ... + 64588251.

Almost surely, 2^28354146048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28354146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43969485560).

28354146048 is an abundant number, since it is smaller than the sum of its proper divisors (59584825072).

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

28354146048 is a wasteful number, since it uses less digits than its factorization.

28354146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28354146048 in words is "twenty-eight billion, three hundred fifty-four million, one hundred forty-six thousand, forty-eight".