28471146101400 has 192 divisors, whose sum is σ = 88523346643200. Its totient is φ = 7569733455360.

The previous prime is 28471146101393. The next prime is 28471146101407. The reversal of 28471146101400 is 410164117482.

It is an interprime number because it is at equal distance from previous prime (28471146101393) and next prime (28471146101407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28471146101407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273480157 + ... + 273584243.

It is an arithmetic number, because the mean of its divisors is an integer number (461059097100).

Almost surely, 2^{28471146101400} is an apocalyptic number.

28471146101400 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 28471146101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44261673321600).

28471146101400 is an abundant number, since it is smaller than the sum of its proper divisors (60052200541800).

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

28471146101400 is a wasteful number, since it uses less digits than its factorization.

28471146101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105458 (or 105449 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 28471146101400 in words is "twenty-eight trillion, four hundred seventy-one billion, one hundred forty-six million, one hundred one thousand, four hundred".