28077649380 has 192 divisors, whose sum is σ = 100309708800. Its totient is φ = 6448429440.

The previous prime is 28077649373. The next prime is 28077649387. The reversal of 28077649380 is 8394677082.

28077649380 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 76 + 493 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28077649373) and next prime (28077649387).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28077649387) 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 63 ways as a sum of consecutive naturals, for example, 11532 + ... + 237251.

It is an arithmetic number, because the mean of its divisors is an integer number (522446400).

Almost surely, 2^28077649380 is an apocalyptic number.

28077649380 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 28077649380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50154854400).

28077649380 is an abundant number, since it is smaller than the sum of its proper divisors (72232059420).

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

28077649380 is a wasteful number, since it uses less digits than its factorization.

28077649380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248831 (or 248823 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 28077649380 in words is "twenty-eight billion, seventy-seven million, six hundred forty-nine thousand, three hundred eighty".