28600146144 has 120 divisors (see below), whose sum is σ = 87012885960. Its totient is φ = 9204620544.

The previous prime is 28600146143. The next prime is 28600146199. The reversal of 28600146144 is 44164100682.

It is a happy number.

28600146144 is a `hidden beast` number, since 2 + 8 + 600 + 1 + 4 + 6 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28600146099 and 28600146108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28600146143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115074 + ... + 265409.

It is an arithmetic number, because the mean of its divisors is an integer number (725107383).

Almost surely, 2^28600146144 is an apocalyptic number.

28600146144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28600146144 is an abundant number, since it is smaller than the sum of its proper divisors (58412739816).

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

28600146144 is a wasteful number, since it uses less digits than its factorization.

28600146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380534 (or 380517 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 28600146144 in words is "twenty-eight billion, six hundred million, one hundred forty-six thousand, one hundred forty-four".