28602857481408 has 224 divisors, whose sum is σ = 96209160896000. Its totient is φ = 8162923557888.

The previous prime is 28602857481403. The next prime is 28602857481433. The reversal of 28602857481408 is 80418475820682.

28602857481408 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 2 + 85 + 74 + 81 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×28602857481408² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28602857481403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9260043 + ... + 11956341.

Almost surely, 2^{28602857481408} is an apocalyptic number.

28602857481408 is a gapful number since it is divisible by the number (28) 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 28602857481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48104580448000).

28602857481408 is an abundant number, since it is smaller than the sum of its proper divisors (67606303414592).

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

28602857481408 is a wasteful number, since it uses less digits than its factorization.

28602857481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697204 (or 2697188 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 28602857481408 in words is "twenty-eight trillion, six hundred two billion, eight hundred fifty-seven million, four hundred eighty-one thousand, four hundred eight".