127093428 has 384 divisors, whose sum is σ = 464486400. Its totient is φ = 29030400.

The previous prime is 127093427. The next prime is 127093429. The reversal of 127093428 is 824390721.

It is an interprime number because it is at equal distance from previous prime (127093427) and next prime (127093429).

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 = 127093392 and 127093401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127093427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4099773 + ... + 4099803.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^127093428 is an apocalyptic number.

127093428 is a gapful number since it is divisible by the number (18) 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 127093428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

127093428 is an abundant number, since it is smaller than the sum of its proper divisors (337392972).

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

127093428 is a wasteful number, since it uses less digits than its factorization.

127093428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 127093428 is about 11273.5721047058. The cubic root of 127093428 is about 502.7757986996.

The spelling of 127093428 in words is "one hundred twenty-seven million, ninety-three thousand, four hundred twenty-eight".